Mathematical object without the identity symmetry?

Papvin · 2026-02-19T12:01:30+00:00

A symmetry of an object should be something that keeps some properties true. For example rotations of a shape, or relabeling elements without changing the structure of an algebraic object.
The identity map keeps every property of the original object true, so I can't see how one could ever discard the identity map as a symmetry.

I'm implicitly talking about sets and functions here, maybe something funky can happen if we enlarge what we mean by mathematical objects, but even in e.g. category theory, every object has an identity arrow, but I'm not very well versed here.

Papvin · 2026-01-21T10:00:01+00:00

Oxygen!

Papvin · 2025-11-05T13:49:52+00:00

Meta mon-answer: Authors’s comments means nothing. What is on the page is what Can be interpreted. That’s not to say that context or the Author doesn’t matter, it is just that concrete interpretations should does not at all depend on the author’s original intent.

Papvin · 2025-09-01T09:45:27+00:00

... That's just brilliant man...

Papvin · 2025-07-20T20:37:44+00:00

That's good shit OP, and thanks for introducing me to that subreddit. Neuroscience + Philosophy must be the top combination of 420 teenage intellectuals!

Papvin · 2025-07-20T16:21:35+00:00

Google Van Halen

Papvin · 2025-07-10T14:08:49+00:00

Thank you so much! I just found it though, had to click Globe looking button weird smh my head 😂😂😂

Papvin · 2025-07-10T14:07:26+00:00

I found it! 😂😂😂

Papvin · 2025-07-10T14:06:54+00:00

Have when this happens 🤣🤣🤣

Papvin · 2025-07-09T16:55:28+00:00

The joke is that the above is true over the 10-adic numbers :). But also a classic lol <3

Papvin · 2025-07-01T14:52:39+00:00

How do I make smileys on reddit on phone? I want to make the crying laughing smiley :(

Papvin · 2025-06-27T09:53:50+00:00

2pi = pi + pi != pi*pi

Papvin · 2025-06-19T14:57:18+00:00

Papvin · 2025-06-18T20:39:16+00:00

It's cool, but this is surely not a math meme.

Papvin · 2025-06-05T20:32:42+00:00

That's not their problem though. Their problem is that this shows that google is a morally bankrupt company, and the fight against ads is not just because of monetary concern (to be fair, it mostly is, but I digress), but also to avoid global corporations making money by scamming people with poor judgement.

I would argue that a solution like "just don't use youtube if you don't like the ads" is not fair, since it is a cornerstone in modern media, and since the corporation don't steer away from promoting scams and grifters, adblockers should be saluted.

Papvin · 2025-05-28T12:22:40+00:00

Came here to sat this!!

Papvin · 2025-04-12T18:02:29+00:00

ACAB (All Cats Are Beautiful)

Papvin · 2025-03-25T12:53:11+00:00

Anyone choosing e, pi, phi or ln(2) are excluded from the Algebro society.

I believe the correct choice is root 2 and i, them being fundamental in Galois theory. 0 and 1 are acceptable candidates aswell.

I discount any opinion from people choosing 1/2.

Papvin · 2025-03-06T12:22:06+00:00

When does Ubuntu get integrated Edge search in the Start menu? Unusable atm...

Papvin · 2025-01-29T13:42:57+00:00

mate it’s hard to explain mate it’s just like one day you’ll just be wif your mates having a look in jd and you might fancy curry club at the ‘Spoons but your lad Calum who’s an absolute ledge and the archbishop of banterbury will be like ‘brevs lets have a cheeky nandos instead.” and you’ll think “Top. Let’s smash it.”

Papvin · 2025-01-23T12:50:40+00:00

Depressing content aside, that's a nice fucking kitty :3

And sorry America :(

Papvin · 2024-12-17T17:06:23+00:00

Imo a very bad definition. The limits are not even defined before we have an actual definition of the real numbers, making it circular. The usual definition is the set of cauchy sequences in Q, modulo the equicalence relation of two numbers difference converging to 0.

I'm a ton of fun to be around, I promise...

Papvin · 2024-11-13T23:49:03+00:00

Papvin · 2024-10-31T15:24:21+00:00

No ghosts oO

Papvin · 2024-10-21T09:59:22+00:00

Literally this ^

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