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Lucasoato 11 hours ago [-]
I’ve used Mathematica at university, it’s so great! Creating fractals, animations and so on is so easy and intuitive.
The problem though is that Wolfram is a walled garden. When you think about integrating it in an enterprise environment, you get hit by such high costs, it stops making sense. Imagine if they open sourced it, I feel like their products have so much utility, buried deep down Wolfram ecosystem and conventions.
orochimaaru 10 hours ago [-]
It doesn't make sense even for academia. Reproducibility is an issue and as we've seen with recent fraudulent claims in major publications - it's what is going to be used for verification of research.
Many years back while in grad school I could not reproduce a result from a paper. Thankfully they had provided the data as public but not the code. I emailed the authors and got some matlab code back. My university didn't have a matlab subscription. Octave saved me there since the syntax is similar.
But with something like mathematica and the price of it you will never be able to have a wide verification of the result if the software is not free.
Also, a lot of things in industry gain traction first in academia (especially math tools). So unless academic traction is dealt with mathematica's headway in industry will remain limited. They are still a profitable company. So I'm guessing there are deep pocketed clients who purchase the tooling.
zipy124 50 minutes ago [-]
This problem is very visible in Physics with software such as COMSOL, which many papers use. The licenses are so crazy expensive, that verifying any paper is difficult.
kridsdale1 8 hours ago [-]
The situation you’re describing is probably why Python is the defacto language of Machine Learning to this day.
huhtenberg 2 hours ago [-]
As opposed to what?
olmo23 2 hours ago [-]
Mathematica or MATLAB
alex7o 4 hours ago [-]
True but also for a one of piracy exists just use a cracked copy of it and be done with it
Schlagbohrer 3 hours ago [-]
How do you run cracked/pirated copies of software? I stopped pirating software decades ago due to malware risks.
woctordho 3 hours ago [-]
Download the installer itself in the official way. Run the keygen in a virtual machine.
dindunuf 3 hours ago [-]
[dead]
3 hours ago [-]
coliveira 9 hours ago [-]
Mathematica has a lot of clients in math and engineering. Traditionally these clients are not so concerned about software engineering issues you mention. What Mathematica offers also makes sense for small firms with a few engineers, because they can leverage their vast amount of ready to use functions and libraries. But I agree that for medium to large size companies it stops making sense.
alok-g 7 hours ago [-]
Here are some alternatives (some internally use free Wolfram engine):
There is also SageMath and Mathics. Not replacements but close.
IshKebab 4 hours ago [-]
> Reimplementation in Rust
It's so disappointing to see CLAUDE.md in projects like these. Basically rules it out for serious use.
adius 4 hours ago [-]
Author here: I absolutely do not understand this mindset.
It has almost 20K unit tests by now and hundreds of full end-to-end tests of complicated scripts to ensure it works and matches the output of Wolframscript. Why does it matter that I was using Claude to help me implement it?
theplumber 4 hours ago [-]
Are they 20k unit tests or sloppy tests? Would 100k unit tests make it better?
bonzini 3 hours ago [-]
My issue is that Mathematica is essentially a term rewriting system. Reimplementing everything in Rust seems to go against the idea. The derivative computation is 400 lines of Rust and could be 20 lines of Mathematica code.
srean 2 hours ago [-]
I have not looked at the implementation but isn't the idea to write a Lispy language in Rust (in other words, Mathematica the language) and then write the differentiation and other routines in that.
bonzini 8 minutes ago [-]
No, they're implementing all functions, all matching etc. in Rust.
srean 5 minutes ago [-]
I see.
Archit3ch 2 hours ago [-]
They had to patch the Rust compiler to natively support AutoDiff.
Contrast with Julia where it can be a regular Julia library,
adius 2 hours ago [-]
My theory is that writing as much as possible in Rust will improve performance and produce higher-quality code due to Rust's static typing. So far, it's been working well, but the final verdict is still out.
IshKebab 2 hours ago [-]
AI has a tendency of "just make it pass!" (which to be fair you also sometimes see from junior human devs - maybe where it learnt from!). Remember that C compiler which didn't even do basic error checking because that wasn't checked by the test suite?
A very young project written by AI means you haven't reviewed the code and nobody has used it in anger. It might work perfectly, but my experience of AI so far says that it won't.
neofrog 3 hours ago [-]
It could very well be 20K slop tests
amelius 54 minutes ago [-]
True but on the other hand it is really impressive how Steven Wolfram managed to build a viable company around scientific software.
brudgers 8 hours ago [-]
Wolfram is $4000/seat for a perpetual commercial license with support. [1] $4000 will only buy a middling Mac Tool tool chest…and not the tools to put in it.
[1] a personal perpetual license is only $400.
nwatson 6 hours ago [-]
Cost goes down significantly for subsequent years personal. Currently at less than $200 yearly.
Archit3ch 4 hours ago [-]
Unless you need System Modeler, in which case add another $576 perpetual + $260 annual.
There is a combined license for Mathematica + System Modeler, but it's "Contact us for pricing". Mind you, that's still on the Hobbyist tier. You cannot use its output for anything commercial.
Contrast with Julia's MTK/Dyad that are free for non-commercial use.
CamperBob2 4 hours ago [-]
Do they still offer a free license on Raspberry Pi?
krackers 4 hours ago [-]
Not just on Raspberry Pi, wolfram scripting engine is free and works on windows or mac too. You lose the notebook interface, but if you're just using it as a calculator, it does the job.
alex7o 4 hours ago [-]
Oh that would make a great mcp
geor9e 7 hours ago [-]
I loved Mathematica. I was so sad about having to use Python math packages in industry.
Joel_Mckay 10 hours ago [-]
Wolfram did have Visual Studio API integration at one point, and it was useful reducing algorithmic symbolic design complexity. However, it was mostly the academically controversial assumptions that Mathematica makes that undermined its credibility in many faculties.
For example, when digging into GNU Octave you will find many of its libraries were built on peer reviewed legacy code provably reproducible with prior aerospace published works.
The problem with closed source academic programs isn't features or even quality, but rather one of traceable Metrology and scientific rigor. =3
breezybottom 9 hours ago [-]
Most scientific fields have no problem using SAS or STATA or other black box code. I don't think that explains Mathematica's problems.
Joel_Mckay 9 hours ago [-]
Indeed, likely negatively correlated with other behavioral phenomena =3
I'm aways surprised that there's no open source language that provides everything you get with Wolfram language. For example, the level of pattern matching you can use when defining functions, as well as the high level of functional composition. It is like having a mix of APL, Lisp, and Prolog that is very productive to use.
zozbot234 6 hours ago [-]
From a strict PL perspective, the Wolfram/Mathematica language is rather based on a term rewriting paradigm. The languages Maude, Pure and TXL would be examples of something that's broadly comparable but more generic. In general, it turns out to be a fairly niche paradigm that's not very useful outside of symbolic computing itself, or related fields such as modeling of PL syntax and compiler internals.
It doesn't cover the full standard library of Mathematica but the syntax is very similar and a lot of functionality is there.
nextaccountic 6 hours ago [-]
Wolfram language is the easy part to implement
Its standard library is almost impossible to reproduce in its enterity
If those libraries were like regular code that got published to Github or something like that.. like pypi or npm or crates.io or whatever. And if mathematica had a lean standard library. It would be very feasible to implement a clone that's basically compatible
I mean. Depending on just wolfram rather than random open source contributors has benefits, for example it's more resistant to supply chain attacks. Indeed the npm model is not good. But, it is open, and that's what enabled for example deno and bun to have some compatibility with node
abacadaba 6 hours ago [-]
kimi reproduce this standard lib, make no mistakes
nextaccountic 4 hours ago [-]
Tbh I fully expect someone to get the proprietary Mathematica code and somehow launder it through LLMs and pretend whatever outuput is not legally a derivative work from the original code, and then does not need to be bound by Mathematica license and can be its own open source project
Like the following dudes who are doing this, but to a project that is already open source (git):
Except that Wolfram would of course sue and we might as well see what the courts has to say about this topic
raegis 6 hours ago [-]
> "...the level of pattern matching you can use when defining functions, as well as the high level of functional composition..."
This sounds like your average functional programming language. The Scicloj community is the first thing to come to mind (but I assume they don't do symbolic algebra/calculus like Mathematica does), but I don't know what you're specifically missing.
TheRealPomax 8 hours ago [-]
IT doesn't even need to be open source, a walled garden that you can afford is perfectly fine. Someone's going to find the cracks in the wall anyway.
But a walled garden that costs $400 for personal use (we're ignoring yearly licensing, because f that noise) is utter nonsense, and the clearest sign you have no idea how to sell and then upsell products to users over the course of several years.
steve1977 6 hours ago [-]
I always compare the difference between Mathematica/Wolfram Language and Python to the difference between Classical Latin and English.
I don't really like English from a linguistic point of view (as a non-native speaker). It's a hodgepodge of other languages and has so many exceptions, it's not very elegant. But it's so ubiquitous and useful that one basically has to know English today.
On the other hand, Latin is beautiful and pure. There's more rules, but very few exceptions. But unless you study catholic theology or something along those lines, it's basically useless.
Which one maps to Wolfram Language and which one to Python is probably obviously.
schoen 5 hours ago [-]
Latin is beautiful, but its purity and regularity may be overstated because of its prestige.
There are irregular verbs, sometimes with complete suppletive replacement of principal parts by what used to be other verbs (e.g. sum, esse, fui, futurus; fero, ferre, tuli, latum). There are verbs that use passive forms with active meaning (deponents) or perfect forms with present meaning (defectives).
There are arguably completely missing forms in the verbal inflection system (the Romans knew that some forms plausibly "should" exist, especially based on a Greek grammatical model, but simply didn't have them!).
There is sometimes unpredictability in which noun case should be used with a particular verb.
The noun declensions are apparently based on two different sets of Indo-European noun inflection paradigms, so nouns with similar nominative forms can end up being declined very differently.
There are ambiguities where different noun forms coincide, which can even create parsing ambiguities in literature (like confusion between ablatives and datives, many of which look identical).
The extent to which the perfect stem of a verb can be predicted from the present is limited, as sometimes stem reduplication is used, but sometimes just suffixation of something like -vi.
There are loanwords, even classically, from Etruscan, Greek, and to a lesser extent other Mediterranean languages (just thinking of that "hodgepodge" issue).
The meanings of purpose clauses with the verbs of fearing are arguably backwards from the English point of view (although I think the Latin version does make plenty of sense).
Native and nonnative speakers couldn't easily agree in antiquity about whether vowel length should be contrastive and (I think) whether consonant aspiration was phonemic. I guess the native speakers' opinion should matter more, except there promptly became such huge numbers of non-native speakers that they started to have a really humongous influence on the language.
There are spelling changes even within the classical period, so there isn't quite one single classical Latin orthography.
I guess there are many fewer irregular verbs overall compared to Germanic languages (which historically have had up to hundreds of at least partly irregular verbs). But if we want to count unpredictability of Latin perfect stems (which is somewhat akin to the main source of irregularity in the Germanic verbs: stem changes) as a kind of irregularity, Latin will also have quite a lot of these.
seanhunter 2 hours ago [-]
It’s a nice analogy but Latin has tons of weird idioms and exceptions. Been a while since I did it, but
1)the locative vs the ablative, and the locative only existing for a few words
2)the irregular verbs such as sum, eo etc, irregular nouns such as deus, aqua etc, and there’s a bunch of irregular like adjectives and stuff that I don’t remember
3)indeclinable nouns that just don’t decline at all and are the same in all cases. I think the word for “morning” is like this but it’s been a very long time. There are a few words that work this way anyway.
4) Words like “castrum” which just mean something totally different in the plural to the singular. “Castrum” means a fort, but the plural “castra” doesn’t mean many forts, it means a (singular) military camp.
5) Words like “Saturnalia” (festivals of Saturn) which only exist in the plural. As far as I know you can’t say one festival of Saturn in latin.
gucci-on-fleek 5 hours ago [-]
> Which one maps to Wolfram Language and which one to Python is probably obviously.
I've programmed quite a bit with both Python and Mathematica, and I've read through your comment a few times, but I still can't figure out which is which. Both languages are hodgepodges of other languages with lots of special cases (which I would consider to be a good thing since it gives you so much flexibility).
mlpicker 4 hours ago [-]
The AI assistant complaints track with what I see on my end. Any general model I throw Wolfram Language at does noticeably worse than it does on Python. That part isn't surprising. There just isn't much public Wolfram code to learn from next to the mountain of Python sitting on github. It keeps guessing function names that sound plausible but don't exist. Spent an afternoon last week fixing hallucinated options on an NDSolve call it gave me.
krackers 4 hours ago [-]
>It keeps guessing function names that sound plausible but don't exist.
That's surprising considering how good their documentation is. A tool using LLM should have no problem with that. WolframLanguage is almost ideal for an LLM actually.
stblack 10 hours ago [-]
I'm a huge fan of Mathematica; I've been a subscriber for many years. There's much to love about the product, but its AI assistant isn't among them.
Claude Caude is much better at Mathematica than Wolfram's own AI assistant. I think they flat-out acknowledge the very limited abilities of Mathematica's AI assistant in this version 15 announcement.
The Wolfram AI assistant is so bad I unsubscribed from it. By the sounds of it, a basic AI assistant is offered included with subscriptions now. I feel it's borderline criminal they were charging for their hallucinatory AI assistant in the past.
raincole 9 hours ago [-]
Honestly I've found even Gemini Flash is better than Wolfram assistant...
But that's fine. Mathematica client supports openrouter as LLM provider anyway so we can use whatever we want.
a-dub 8 hours ago [-]
symbolic music features are interesting! they should add chroma!
sbrother 8 hours ago [-]
I saw those and got excited; I've been using Mathematica for decades and do a lot of work with symbolic music.
Unfortunately they are extremely surface level in this release. It looks like there isn't even any ability to load/export MusicXML, kind of weird low level primitives and zero interesting higher level functions. Hopefully they keep iterating on it but I don't think it'll be useful for my workflow right now.
prenx4x 8 hours ago [-]
Hissab - https://hissab.io is a Free and opensource alternative to Wolfram
alok-g 7 hours ago [-]
Here are some other alternatives (some internally use free Wolfram engine):
Note that alternative open source solvers like Fricas fail 10x the integrals in that corpus.
alok-g 4 hours ago [-]
The bottom two are based on Wolfram engine itself, so would fair the same as Mathematica. I do not know about the first one.
ForceBru 4 hours ago [-]
According to https://github.com/rawbytess/hissab, it's not even close to being an alternative to Wolfram. Hissab is described as "A strict, unit-aware natural-language calculator" and its syntax looks nothing like Wolfram. It reminds me of Wolfram Alpha, though.
lutusp 5 hours ago [-]
If Stephen Wolfram really wanted wide adoption of Wolfram Language, he would give it an open-source license and release its source. As things stand it's an expensive walled garden whose costs outweigh its advantages.
A quote from the linked article: " ...year after year building an ever taller tower of ideas and technology ..."
That's an accurate description of the Wolfram empire -- every year it becomes a more expensive, less accessible, vertical tower. Meanwhile, people intent on disseminating useful knowledge do so by growing horizontally -- Python, Linux, many others, all open-source.
Historical figures would be astonished at what Wolfram is trying to do -- they would say, "Wait ... you can't patent mathematics!" No, but you can try.
david_rugaex 4 hours ago [-]
Obviously open source is a significant virtue. Mathematica has some strength in closed source, I doubt it could be as self consistent and backwards compatible if people could depend on the implementation as the use contract as opposed to the documentation. It would obviously have had more features earlier, but would that have made the perpetual support, cointegration, or documentation suffer? I'm not blind to the downsides, but I do perceive upsides, and those may contribute to Mathematica's niche.
UltraSane 6 hours ago [-]
The mathematica solve function is a lot of fun to use.
Vaslo 9 hours ago [-]
I remember using it in my college days in the 90s.
People joining my company from academia usually know Mathematica along with Python or R.
When we tell them we don’t use Mathematica they are sometimes initially concerned. They are typically quite opinionated and I have yet to hear an employee complain about no longer having access to Mathematica. Or SPSS, SAS, or MiniTab for that matter.
SilverElfin 9 hours ago [-]
Does anyone use this outside of college classes? It looks so great in these demos but I never hear of companies using it.
alok-g 7 hours ago [-]
I have used at work a lot for some projects (device physics modeling stuff)
mackeye 9 hours ago [-]
it has the nicest calculator syntax (imho) among the tools i've tried (python/julia/array langs/matlab/etc...) with extensive docs for each function and a nice notebook interface, but i've never written a program in it that was longer than one expression.
Postosuchus 7 hours ago [-]
It used to be pretty popular for mathematical modeling in quantitative finance.
david_rugaex 4 hours ago [-]
I work in quantitative finance. I do the vast vast majority of my algebra and stochastic calculus in Mathematica, and lots of ad hoc data visualization.
afolkest 9 hours ago [-]
Not industry, but it's pretty popular among theoretical physics researchers.
jjtheblunt 9 hours ago [-]
I had it in an engineering inner sanctum of Apple. had used it since it came out in 1988 on campus in Illinois, and folks in Apple definitely knew it. Not sure who all was doing what with it.
Grosvenor 8 hours ago [-]
Steve Jobs and Stephen Wolfram were friends for years. Mathematica shipped preinstalled on early NeXT systems.
SJ recommended some of the UI bits of the notebook. Particularly the separators between cells.
raegis 6 hours ago [-]
I used Mathematica on a NeXT computer back in 1991. It was a beautiful machine to work on. I did a student project where I simulated the flow of the boundary of a plane region over time (like how the shape of a drop of oil in water changes over time) and it was very, very easy to write in Mathematica with cool graphics.
markgall 8 hours ago [-]
Still nowadays? My impression is that in (pure) math it's lost most of its market share in the last few years. But maybe that's only in my circles.
ahnick 8 hours ago [-]
what do you or others use instead?
markgall 8 hours ago [-]
Probably the most general-purpose one is SageMath, which is open-source and basically Python with a ton of sophisticated math stuff built into it. Everything I used to do in Mathematica I now do in sage, and I don't think I'm the only one. Probably field-dependent though.
Of course there is a whole constellation of more specialized things in certain fields, that has come a long way in the last 15 years. So people needing things like that no longer kludge things together in Mathematica.
bloaf 4 hours ago [-]
Does SageMath use Sympy, or is there some other integrator built in? Last I heard Sympy was one of the worst performers, even among other open source CASs.
I would not call him a crank, he's just an "independent physicist". He is a very successful and wealthy businessman thanks to Mathematica, with $100Ms of wealth presumably, and he choses to do physics in his own way, pursuing subjects that he finds interesting, in ways he finds interesting. And he writes about his work and himself in grandiose ways, usually comparing himself to Newton and Einstein.
Nothing major has come out of his research, other then one of his co-workers proving that one of the simple CAs is Turing complete.
Most academic physicists ignore him, but that's fine. Personally, I think we need more people like Wolfram who are doing totally independent research, with their own funds. Statistically, something unexpectedly good could come out of it!
> And he writes about his work and himself in grandiose ways, usually comparing himself to Newton and Einstein ... Nothing major has come out of his research
okay
geertj 31 minutes ago [-]
The word ‘crank’ is a dismissive insult. Wolfram is definitely eccentric, probably hard to work with, but also undoubtedly smart. What good does it do to dismiss him? He’s doing nothing wrong spending his own money the way he wants to. And who knows something will come out of this. Similar to GP I’d like to see more of this.
themafia 4 hours ago [-]
It's easy to find Wolfram tedious but I've not seem him be particularly disruptive to other efforts nor did his crankery lead to his current success. He's on the same level with Eric Weinstein. Your best bet is to ignore them.
mr_mitm 3 hours ago [-]
I'd like to push back on that comparison. At least unlike Weinstein, Wolfram produced a genuinely impressive and useful piece of software, which empowers scientists and students worldwide. While his physics work is a little questionable and not too interesting, he doesn't seem to care too much what other people think. He'd never latch on to some podcast bro to give his ideas a wider reach. All Weinstein does is drop big names left and right and whine about how Big String Theory has taken over modern physics and suppresses free thinkers.
themafia 1 hours ago [-]
That's fair. What I was trying to get at is that Weinstein is also independently successful albeit in a completely unrelated field. There may be small parts of truth in his critique of the field but GU is just so completely batty and ignorant it's worth discounting his analysis here entirely.
I find greater fault in the pushing of his "Intellectual Dark Web" pseudo-cult. So I would agree he's actually a contemptible character but for slightly different reasons.
lutusp 5 hours ago [-]
The linked video is a must-see -- it's one of those rare video essays that shed more light than heat.
jrflowers 4 hours ago [-]
I like the changes they’ve made to the backend in the AI era because now if you input “weight of 1 cup of sugar” into WolframAlpha it says 202 grams and if you put in “weight of 1 cup of sucrose” it says 376 grams.
I would rather live in a world where my life is surrounded by mystery than live in a world so small that my mind could comprehend it. - Harry Emerson Fosdick
scapp 37 minutes ago [-]
Hmmm, it could definitely be clearer. It looks like it's using the bulk density for "sugar" (so including the air between the crystals) and the actual density for "sucrose".
The problem though is that Wolfram is a walled garden. When you think about integrating it in an enterprise environment, you get hit by such high costs, it stops making sense. Imagine if they open sourced it, I feel like their products have so much utility, buried deep down Wolfram ecosystem and conventions.
Many years back while in grad school I could not reproduce a result from a paper. Thankfully they had provided the data as public but not the code. I emailed the authors and got some matlab code back. My university didn't have a matlab subscription. Octave saved me there since the syntax is similar.
But with something like mathematica and the price of it you will never be able to have a wide verification of the result if the software is not free.
Also, a lot of things in industry gain traction first in academia (especially math tools). So unless academic traction is dealt with mathematica's headway in industry will remain limited. They are still a profitable company. So I'm guessing there are deep pocketed clients who purchase the tooling.
Reimplementation in Rust: https://github.com/ad-si/Woxi
WLJS Notebook: https://wljs.io
VS Code extension: https://github.com/vanbaalon/wolfbook
It's so disappointing to see CLAUDE.md in projects like these. Basically rules it out for serious use.
Contrast with Julia where it can be a regular Julia library,
A very young project written by AI means you haven't reviewed the code and nobody has used it in anger. It might work perfectly, but my experience of AI so far says that it won't.
[1] a personal perpetual license is only $400.
There is a combined license for Mathematica + System Modeler, but it's "Contact us for pricing". Mind you, that's still on the Hobbyist tier. You cannot use its output for anything commercial.
Contrast with Julia's MTK/Dyad that are free for non-commercial use.
For example, when digging into GNU Octave you will find many of its libraries were built on peer reviewed legacy code provably reproducible with prior aerospace published works.
The problem with closed source academic programs isn't features or even quality, but rather one of traceable Metrology and scientific rigor. =3
https://www.statista.com/chart/4111/do-europeans-wash-their-...
It doesn't cover the full standard library of Mathematica but the syntax is very similar and a lot of functionality is there.
Its standard library is almost impossible to reproduce in its enterity
If those libraries were like regular code that got published to Github or something like that.. like pypi or npm or crates.io or whatever. And if mathematica had a lean standard library. It would be very feasible to implement a clone that's basically compatible
I mean. Depending on just wolfram rather than random open source contributors has benefits, for example it's more resistant to supply chain attacks. Indeed the npm model is not good. But, it is open, and that's what enabled for example deno and bun to have some compatibility with node
Like the following dudes who are doing this, but to a project that is already open source (git):
https://news.ycombinator.com/item?id=48468904
Except that Wolfram would of course sue and we might as well see what the courts has to say about this topic
This sounds like your average functional programming language. The Scicloj community is the first thing to come to mind (but I assume they don't do symbolic algebra/calculus like Mathematica does), but I don't know what you're specifically missing.
But a walled garden that costs $400 for personal use (we're ignoring yearly licensing, because f that noise) is utter nonsense, and the clearest sign you have no idea how to sell and then upsell products to users over the course of several years.
I don't really like English from a linguistic point of view (as a non-native speaker). It's a hodgepodge of other languages and has so many exceptions, it's not very elegant. But it's so ubiquitous and useful that one basically has to know English today.
On the other hand, Latin is beautiful and pure. There's more rules, but very few exceptions. But unless you study catholic theology or something along those lines, it's basically useless.
Which one maps to Wolfram Language and which one to Python is probably obviously.
There are irregular verbs, sometimes with complete suppletive replacement of principal parts by what used to be other verbs (e.g. sum, esse, fui, futurus; fero, ferre, tuli, latum). There are verbs that use passive forms with active meaning (deponents) or perfect forms with present meaning (defectives).
There are arguably completely missing forms in the verbal inflection system (the Romans knew that some forms plausibly "should" exist, especially based on a Greek grammatical model, but simply didn't have them!).
There is sometimes unpredictability in which noun case should be used with a particular verb.
The noun declensions are apparently based on two different sets of Indo-European noun inflection paradigms, so nouns with similar nominative forms can end up being declined very differently.
There are ambiguities where different noun forms coincide, which can even create parsing ambiguities in literature (like confusion between ablatives and datives, many of which look identical).
The extent to which the perfect stem of a verb can be predicted from the present is limited, as sometimes stem reduplication is used, but sometimes just suffixation of something like -vi.
There are loanwords, even classically, from Etruscan, Greek, and to a lesser extent other Mediterranean languages (just thinking of that "hodgepodge" issue).
The meanings of purpose clauses with the verbs of fearing are arguably backwards from the English point of view (although I think the Latin version does make plenty of sense).
Native and nonnative speakers couldn't easily agree in antiquity about whether vowel length should be contrastive and (I think) whether consonant aspiration was phonemic. I guess the native speakers' opinion should matter more, except there promptly became such huge numbers of non-native speakers that they started to have a really humongous influence on the language.
There are spelling changes even within the classical period, so there isn't quite one single classical Latin orthography.
I guess there are many fewer irregular verbs overall compared to Germanic languages (which historically have had up to hundreds of at least partly irregular verbs). But if we want to count unpredictability of Latin perfect stems (which is somewhat akin to the main source of irregularity in the Germanic verbs: stem changes) as a kind of irregularity, Latin will also have quite a lot of these.
1)the locative vs the ablative, and the locative only existing for a few words
2)the irregular verbs such as sum, eo etc, irregular nouns such as deus, aqua etc, and there’s a bunch of irregular like adjectives and stuff that I don’t remember
3)indeclinable nouns that just don’t decline at all and are the same in all cases. I think the word for “morning” is like this but it’s been a very long time. There are a few words that work this way anyway.
4) Words like “castrum” which just mean something totally different in the plural to the singular. “Castrum” means a fort, but the plural “castra” doesn’t mean many forts, it means a (singular) military camp.
5) Words like “Saturnalia” (festivals of Saturn) which only exist in the plural. As far as I know you can’t say one festival of Saturn in latin.
I've programmed quite a bit with both Python and Mathematica, and I've read through your comment a few times, but I still can't figure out which is which. Both languages are hodgepodges of other languages with lots of special cases (which I would consider to be a good thing since it gives you so much flexibility).
That's surprising considering how good their documentation is. A tool using LLM should have no problem with that. WolframLanguage is almost ideal for an LLM actually.
Claude Caude is much better at Mathematica than Wolfram's own AI assistant. I think they flat-out acknowledge the very limited abilities of Mathematica's AI assistant in this version 15 announcement.
The Wolfram AI assistant is so bad I unsubscribed from it. By the sounds of it, a basic AI assistant is offered included with subscriptions now. I feel it's borderline criminal they were charging for their hallucinatory AI assistant in the past.
But that's fine. Mathematica client supports openrouter as LLM provider anyway so we can use whatever we want.
Unfortunately they are extremely surface level in this release. It looks like there isn't even any ability to load/export MusicXML, kind of weird low level primitives and zero interesting higher level functions. Hopefully they keep iterating on it but I don't think it'll be useful for my workflow right now.
Reimplementation in Rust: https://github.com/ad-si/Woxi
WLJS Notebook: https://wljs.io
VS Code extension: https://github.com/vanbaalon/wolfbook
https://www.12000.org/my_notes/CAS_integration_tests/reports...
Note that alternative open source solvers like Fricas fail 10x the integrals in that corpus.
A quote from the linked article: " ...year after year building an ever taller tower of ideas and technology ..."
That's an accurate description of the Wolfram empire -- every year it becomes a more expensive, less accessible, vertical tower. Meanwhile, people intent on disseminating useful knowledge do so by growing horizontally -- Python, Linux, many others, all open-source.
Historical figures would be astonished at what Wolfram is trying to do -- they would say, "Wait ... you can't patent mathematics!" No, but you can try.
People joining my company from academia usually know Mathematica along with Python or R.
When we tell them we don’t use Mathematica they are sometimes initially concerned. They are typically quite opinionated and I have yet to hear an employee complain about no longer having access to Mathematica. Or SPSS, SAS, or MiniTab for that matter.
SJ recommended some of the UI bits of the notebook. Particularly the separators between cells.
Of course there is a whole constellation of more specialized things in certain fields, that has come a long way in the last 15 years. So people needing things like that no longer kludge things together in Mathematica.
https://www.12000.org/my_notes/CAS_integration_tests/reports...
I would not call him a crank, he's just an "independent physicist". He is a very successful and wealthy businessman thanks to Mathematica, with $100Ms of wealth presumably, and he choses to do physics in his own way, pursuing subjects that he finds interesting, in ways he finds interesting. And he writes about his work and himself in grandiose ways, usually comparing himself to Newton and Einstein.
Nothing major has come out of his research, other then one of his co-workers proving that one of the simple CAs is Turing complete.
Most academic physicists ignore him, but that's fine. Personally, I think we need more people like Wolfram who are doing totally independent research, with their own funds. Statistically, something unexpectedly good could come out of it!
His latest research subject is Ruliology:
https://writings.stephenwolfram.com/2026/01/what-is-ruliolog...
> And he writes about his work and himself in grandiose ways, usually comparing himself to Newton and Einstein ... Nothing major has come out of his research
okay
I find greater fault in the pushing of his "Intellectual Dark Web" pseudo-cult. So I would agree he's actually a contemptible character but for slightly different reasons.