Question

Natural Number Inductive Proof

score 42 · Answer 1 · 2019-01-31 00:10:32

42

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Natural Number Inductive Proof

Published on 31 Jan 2019 - 0:10

score 48 · Answer 2 · 2019-02-04 22:26:04

48

Views

Need help finishing proving this summation inequality by induction

Published on 04 Feb 2019 - 22:26

score 321 · Answer 3 · 2026-03-25 11:32:34

321

Views

Proof of Natural Numbers using n+1 = n ∪ {n}

Published on 25 Mar 2026 - 11:32

score 543 · Answer 4 · 2019-02-06 15:39:04

543

Views

Show $(N, ≤)$ is a partial order with least upper bounds (lubs) and greatest lower bounds (glbs) of all pairs.

Published on 06 Feb 2019 - 15:39

score 150 · Answer 5 · 2026-03-25 06:07:12

150

Views

Why doesn't the construction of $\mathbb{N}$ through ordinals in ZFC violate Gödel's Incompleteness Theorem?

Published on 25 Mar 2026 - 6:07

score 240 · Answer 6 · 2019-02-12 02:10:30

240

Views

Is Halmos' use of the Axiom of Substitution wrong in Ch. 19 Naive Set Theory?

Published on 12 Feb 2019 - 2:10

score 48 · Answer 7 · 2026-03-25 09:27:30

48

Views

Is possible to represent natural number X without 'splitting' it as additive-finitely repeated element set property?

Published on 25 Mar 2026 - 9:27

score 169 · Answer 8 · 2019-02-14 21:12:09

169

Views

Is there any way to prove that $x = y \Rightarrow x + z = y + z$?

Published on 14 Feb 2019 - 21:12

score 237 · Answer 9 · 2019-02-17 17:51:04

237

Views

Official name of "sized integers", a kind of number where $00$ is not equal to $0$?

Published on 17 Feb 2019 - 17:51

score 426 · Answer 10 · 2019-02-17 20:09:00

426

Views

What does $(a_n)_n \in A^{\mathbb{N}}$ mean?

Published on 17 Feb 2019 - 20:09

score 39 · Answer 11 · 2019-02-26 02:34:00

39

Views

Unique form to write any natural number

Published on 26 Feb 2019 - 2:34

score 187 · Answer 12 · 2019-03-03 05:31:22

187

Views

Prove that $n\not=n^+$ for all $n \in \omega$

Published on 03 Mar 2019 - 5:31

score 50 · Answer 13 · 2019-03-03 21:50:39

Let $F:A \to A$ be a function and let $Y \subseteq A$. Prove that the class $S = \{B:Y\subseteq B \subseteq A$ and $F[B] \subseteq B\}$ is a set.

score 78 · Answer 14 · 2019-03-04 21:27:52

78

Views

Why is the derivative of $3^x$ equal to $3^x \cdot \ln 3$

Published on 04 Mar 2019 - 21:27

score 1.5k · Answer 15 · 2019-03-04 22:31:07

1.5k

Views

Why is absolute value of negative exponent equal to positive value?

Published on 04 Mar 2019 - 22:31

List Question

Natural Number Inductive Proof

Need help finishing proving this summation inequality by induction

Proof of Natural Numbers using n+1 = n ∪ {n}

Show $(N, ≤)$ is a partial order with least upper bounds (lubs) and greatest lower bounds (glbs) of all pairs.

Why doesn't the construction of $\mathbb{N}$ through ordinals in ZFC violate Gödel's Incompleteness Theorem?

Is Halmos' use of the Axiom of Substitution wrong in Ch. 19 Naive Set Theory?

Is possible to represent natural number X without 'splitting' it as additive-finitely repeated element set property?

Is there any way to prove that $x = y \Rightarrow x + z = y + z$?

Official name of "sized integers", a kind of number where $00$ is not equal to $0$?

What does $(a_n)_n \in A^{\mathbb{N}}$ mean?

Unique form to write any natural number

Prove that $n\not=n^+$ for all $n \in \omega$

Let $F:A \to A$ be a function and let $Y \subseteq A$. Prove that the class $S = \{B:Y\subseteq B \subseteq A$ and $F[B] \subseteq B\}$ is a set.

Why is the derivative of $3^x$ equal to $3^x \cdot \ln 3$

Why is absolute value of negative exponent equal to positive value?

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