Timeline for Can you do math without knowing how to count?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 12, 2021 at 9:47 | comment | added | Mozibur Ullah | @Dan Fox: Well, I assume you don't talk about them. I'm not saying that doing without the integers is useful. Its not. But I am saying it is possible to do without them. Do you need the integers to express the separation axioms? How about the notion of continuity or an open set? These are all useful notions that don't use integers. | |
| Nov 15, 2021 at 13:48 | comment | added | Dan Fox | I'm not sure how one talks about the winding number without integers, and I'm not sure how one does topology without the winding number. | |
| Apr 18, 2021 at 14:09 | comment | added | Mozibur Ullah | @Dattier: Intuitive set theory, geometry and topology can be done without intuitive integers. Given that the OP was asking about intuitive integers I figured that simplicity is best. Peano models counting axiomatically and the OP is asking about mathematics other than counting. | |
| Apr 18, 2021 at 12:58 | comment | added | Dattier | Well, can you define $10^9$ in arithmetic of Peano without use intuitive integers and knowing BAAC =BAC for BAAC and BAC a set of symbol concatenate | |
| Apr 18, 2021 at 12:51 | comment | added | Mozibur Ullah | @Dattier: Obviously, mathematical disciplines are inter-relate. For example, group theory is used in geometry in the definition of Lie groups and principal bundles. However, we can restrict usage. It's possible to build up a useful set theory without using the notion of cardinality. For example, the de Morgan identities can be shown etc. | |
| Apr 18, 2021 at 12:44 | comment | added | Dattier | How do you say that $card (G) = 10^9$ without using intuitive integers? | |
| Apr 18, 2021 at 12:13 | history | answered | Mozibur Ullah | CC BY-SA 4.0 |