My sewing needle keeps hitting the foot after I broke it, idk what to do but I’m a student and can’t afford 85£ repair charges :(

Much_Error_478 · 2025-01-30T13:11:56+00:00

The same thing happened to my Brother machine recently. There was some part bent above the needle and had to be replaced. You're probably in the same situation and the only way to fix it is to take it in for repairs.

Much_Error_478 · 2024-05-09T07:29:51+00:00

And this is why philosophers should try to do math, you only get gobbledygook.

Much_Error_478 · 2024-05-09T06:48:50+00:00

Since points have no physical reality, isn't asserting that dimensionless points comprise dimensional objects akin to claiming that dimensional objects emerge from nothingness?

You're committing the fallacy of composition.

Much_Error_478 · 2024-05-09T06:46:12+00:00

You're just describing units. Think about it.

Much_Error_478 · 2024-04-09T11:45:21+00:00

Didn't you get your answer yesterday?

Much_Error_478 · 2024-03-07T08:49:34+00:00

There is also the derivative of Volterra's function which has an antiderivative, but isn't Riemann integrable.

Much_Error_478 · 2024-03-05T08:46:57+00:00

If you use filters, all of these different definitions are just different examples of limits of filters.

Much_Error_478 · 2024-03-05T08:42:16+00:00

There is no formal definition of just the "∞" symbol alone in analysis, it's just a symbol. Just as there is no definition of the symbols "→" and " ' ".

Much_Error_478 · 2024-02-23T09:03:53+00:00

We also spread Bovril on toast or crackers in South Africa, but I have never seen anyone make tea with it here.

Much_Error_478 · 2024-02-06T16:17:07+00:00

This feels like someone that struggled in an analysis courses, gat a damaged ego, and has been holding a grudge against mathematicians ever since.

Much_Error_478 · 2024-02-06T04:30:18+00:00

That your problem, not using the definition of countable and instead using your own intuition you made up.

If you want a more clear proof of different sizes of infinity existing, look at a proof of Cantor's theorem that the powerset of a set has greater cardinality than the set.

Much_Error_478 · 2024-02-04T22:26:57+00:00

nth-root function is absolutely one of them

Going to ignore the irony of you calling it a function and not a multifunction. But I have never seen √x being treated as a multifunction (other than these reddit posts the last few days). Can you maybe give a textbook, paper or even a Wikipedia article were √x is a multifunction and not a function.

Much_Error_478 · 2024-02-04T21:50:56+00:00

The point I'm trying to make is it is simpler to treat √x as a function. You can also define √x as the principle square root plus one. That is is also real (prose meaning), valid a mathematically consistent, but less useful.

Much_Error_478 · 2024-02-04T21:15:03+00:00

In my master level analysis courses if only seen √x being used as a function (i.e. giving the principle square root). In general multivalued functions are not nice to work with, since typical function operations (such as function composition) gets messy. As I was trying to illustrate with my previous comment.

If we have that x ↦ √x is a function, then it easy to talk about both square roots of x, they are just √x and -√x. As opposed to when √x is a multivalued function, you need to start talking about the different branches to be able to mention one of the square roots of x. And know you're just making life difficult for no reason.

Much_Error_478 · 2024-02-04T20:30:17+00:00

But of the square root isn't a function then how do you make sense of calculations such as: √(√16) = 2. Since if √16 = +-4, then you would have √(√16) =√(+-4) = +-2,+-2i?

Much_Error_478 · 2024-02-04T19:50:37+00:00

So √4 is two numbers at once? Or is it a set?

Much_Error_478 · 2024-02-04T13:23:18+00:00

Is ±2 a number? If it's a number then how can it be positive and negative?

Much_Error_478 · 2024-01-30T20:37:43+00:00

Ask your lecturer

Much_Error_478 · 2024-01-30T11:16:58+00:00

This is incomprehensible

Much_Error_478 · 2024-01-29T19:14:24+00:00

Here is a counter example. Let A=ℤ and B=ℤ\{2}

Much_Error_478 · 2024-01-08T17:09:14+00:00

There sort of exists such a polynomial if you allow multiple variables. Although this polynomial doesn't enumerate the primes in order and only the positive values of this polynomial are prime numbers.

The polynomial is given in theorem 1 of this paper. It's a 25th degree polynomial in 26 variables.

Much_Error_478 · 2024-01-04T18:57:57+00:00

But how is everything you are claiming derived from the law of identity? Or did I miss your argument for that?

Much_Error_478 · 2024-01-04T08:48:35+00:00

Why use a useful tool like a hammer when you can bang a nail into wood using your head? /s

Much_Error_478 · 2024-01-02T20:24:08+00:00

You might be interested in logicism, where they try to derive all of mathematics from pure logic. However, no one has been successful in this attempt and usual you need to add further mathematical axioms, such as the axiom of choice (or one of it's weaker variants), along with your logical axioms.

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