List questions from natural-numbers

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Countable set example

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Bound a natural by two consecutive powers

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Set theory that proves that if its consistient, is only proves true things about arithmetic

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$n$ is natural number. What is the result of $(-1)^{2n}-(-1)^{4n-1}-1^{n+1}-(-2)^3$

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Given a sufficiently large integer $N$, is it true that there are more primes than perfect squares in $[1,N]$?

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Some questions about the successor function

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What IS the successor function without saying $S(n) = n + 1$?

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Prove addition is commutative using axioms, definitions, and induction

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In mathematics, is there a theory that deals with the distribution of numbers?

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What does elementary function arithmetic without the induction axiom tell us about the exponential function?

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finding contradiction in inductive proof of unique successor

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$a+b+c=?$ by having $a^2+160=b^2+5$ and $a^2+320=c^2+5$

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Three-digit numbers which all digits on the left are larger than digits on the right

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List Question

Recursive Induction Floor Proof Help

Countable set example

Bound a natural by two consecutive powers

Set theory that proves that if its consistient, is only proves true things about arithmetic

$n$ is natural number. What is the result of $(-1)^{2n}-(-1)^{4n-1}-1^{n+1}-(-2)^3$

Given a sufficiently large integer $N$, is it true that there are more primes than perfect squares in $[1,N]$?

How to show that $(S\cup\{0\},\ge)$ is order-isomorphic to $(S,\ge)$?

Some questions about the successor function

What IS the successor function without saying $S(n) = n + 1$?

Prove addition is commutative using axioms, definitions, and induction

In mathematics, is there a theory that deals with the distribution of numbers?

What does elementary function arithmetic without the induction axiom tell us about the exponential function?

finding contradiction in inductive proof of unique successor

$a+b+c=?$ by having $a^2+160=b^2+5$ and $a^2+320=c^2+5$

Three-digit numbers which all digits on the left are larger than digits on the right

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