I've been reading On Numbers and Games and I noticed that Conway defines addition in his number system in terms of addition. Similarly in the analysis and logic books that I've read (I'm …

My questions: I've heard addend used generally for addition operands. Is that correct formal usage? Do subtraction and division lack general names for their operands because they are …

Apr 21, 2015 · Closed 12 years ago. Is there a notation for addition form of factorial? $$5! = 5\times4\times3\times2\times1$$ That's pretty obvious. But I'm wondering what I'd need to use …

Aug 16, 2019 · The addition of the second alternative does not invalidate our previous knowledge of A, it merely weakens it. So what is the point of doing this? While the addition of the second …

Feb 1, 2014 · Set Addition vs. Set Union Ask Question Asked 11 years, 10 months ago Modified 6 years, 5 months ago

May 8, 2014 · Prove the commutativity property of addition of natural numbers by induction Ask Question Asked 11 years, 7 months ago Modified 10 years, 1 month ago

Aug 6, 2015 · 20 Let's pretend multiplication came after addition. Try writing this without parentheses: $$ (a\times b)+c$$ You'll find this very hard. With the current order of operations, …

The fact that multiplication distributes over addition admits $0\cdot a = 0 \;\forall a$ where $0$ is the additive identity. There is no such analog for addition. This is one property that falls out of …

Jul 5, 2024 · How can you define addition using the $+$ symbol, isn't that against the purpose of a definition? Whilst doing further research I managed to find the following article: How is addition …

Working with this definition we see that $$ 1+1=1' $$ showing that the first property of addition is fulfilled. Now, by the same definition we have that $1+y=y'$ which by axiom 2 and 4 is …