Question Number 72640 by azizullah last updated on 31/Oct/19
Answered by ajfour last updated on 31/Oct/19
$$\mathrm{1}+\mathrm{0}=\mathrm{1} \\ $$
Answered by MJS last updated on 31/Oct/19
$$\forall{a}\in\mathbb{Z}\exists{n}\in\mathbb{Z}:{a}+{n}={a}\Leftrightarrow{a}+\left(−{a}\right)={n} \\ $$$${n}\:\mathrm{is}\:\mathrm{the}\:\mathrm{neutral}\:\mathrm{element}\:\mathrm{of}\:\mathrm{addition}\:\mathrm{in}\:\mathbb{Z} \\ $$$${n}=\mathrm{0} \\ $$
Answered by mind is power last updated on 31/Oct/19
$$\mathrm{in}\:\mathrm{set}\:\mathrm{theory}\:\:\: \\ $$$$\mathrm{0}\Rightarrow\left\{\right\}\:\mathrm{empty}\:\mathrm{set}\:\mathrm{look}\:\mathrm{at}\:\mathrm{peano}\:\mathrm{arithmetics} \\ $$$$\mathrm{wich}\:\mathrm{is}\:\mathrm{between}\:\mathrm{set}\:\mathrm{thdofy}\:\mathrm{and}\:\mathrm{logic}\:\mathrm{nice}\:\mathrm{to}\:\mathrm{read}\:\mathrm{it}\: \\ $$$$ \\ $$