/sci/ - Science & Math » Thread #12028341

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Anonymous Thu 20 Aug 11:10:40 2020 No.12028341 View Reply Original Report

Quoted By: >>12028349 >>12028368 >>12028376 >>12028485 >>12028547 >>12029062 >>12029153

>there are people who think the notion of the empty set is real

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>a set is a collection of objects
>empty set is a set with no objects

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Anonymous

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Anonymous Thu 20 Aug 2020 11:12:42 No.12028346 Report

Quoted By:

Use pin next time.

Anonymous

Anonymous Thu 20 Aug 2020 11:13:55 No.12028349 Report

Quoted By: >>12028367

>>12028341
How could it be real? If it's a set, and a set is a collection of objects, but the set is empty, so it's not a set. It exists purely in hypotheticals, it couldn't exist because its existance is a paradox.

Anonymous

Anonymous Thu 20 Aug 2020 11:18:01 No.12028352 Report

Quoted By: >>12028361

>box with no apples isn't real
Real genius here.

Anonymous

Anonymous Thu 20 Aug 2020 11:21:23 No.12028361 Report

Quoted By: >>12028370 >>12029052

>>12028352
A set is only a term to refer to the concept of their being something, is empty space containing nothing able to be likened to a box containing nothing? There is no box.

Anonymous

Anonymous Thu 20 Aug 2020 11:24:02 No.12028367 Report

Quoted By:

>>12028349
Is 0 part of the set of real numbers? Is 0 real? How can 0 be real when it doesn't amount to anything like the rest of the numbers? 0 isn't real; it's a paradox

Anonymous

Anonymous Thu 20 Aug 2020 11:24:15 No.12028368 Report

Quoted By:

>>12028341
It's as real as a non-empty set.

Anonymous

Anonymous Thu 20 Aug 2020 11:25:04 No.12028370 Report

Quoted By: >>12029048

>>12028361
There is no empty space

Anonymous

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Anonymous Thu 20 Aug 2020 11:27:30 No.12028376 Report

Quoted By: >>12029153

>>12028341

Anonymous

Anonymous Thu 20 Aug 2020 12:20:47 No.12028485 Report

Quoted By:

>>12028341
it exists just because to make the math easier since we're dealing with powers.

Anonymous

Anonymous Thu 20 Aug 2020 12:43:02 No.12028547 Report

Quoted By:

>>12028341
That's the primitive notion of a set, from before the axiomatization of mathematics. Now you don't care what sets are, you describe what properties they must have under an axiomatic system, and most of them necessitate the existence of an empty set, ZFC certainly does.

Anonymous

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Anonymous Thu 20 Aug 2020 16:01:09 No.12029048 Report

Quoted By:

>>12028370

Anonymous

Anonymous Thu 20 Aug 2020 16:03:12 No.12029052 Report

Quoted By:

>>12028361
>There is no box.
explain these brackets then {}

Anonymous

Anonymous Thu 20 Aug 2020 16:06:01 No.12029062 Report

Quoted By:

>>12028341
If you believe in a theory where not everything is true and there exists a set, then you need the empty set, because it's literally the subset of any set whose elements satisfy the empty property.

So, essentially, the empty set reflects falsehood from the logical level into the first-order inhabitant level.

FOL is crap, but even in foundations that are better behaved, such as type theory, you also get an empty type.

Anonymous

Anonymous Thu 20 Aug 2020 16:38:50 No.12029153 Report

Quoted By:

>>12028376
based
>>12028341
cringe

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