Infinity

Question 1

What is the difference between a number and a numeral?

Answer 1

A numeral is something we use to talk about numbers, which are an abstract entity.

Question 2

Explain the use/mention distinction.

Answer 2

Use: The thing itself eg a dog the animal, that eats and breathes and runs.
Mention: the word for the thing eg the word ‘dog’ (put in quotation marks).

Question 3

Explain the type/token distinction.

Answer 3

Type: different types of things eg type letters in the word tattoo are ‘t’,’a’, and ‘o’
Token: each individual element eg token letters in tattoo are ‘t’,’a’,’t’,’t’,’o’,’o’

Question 4

Define ‘Eqiunumerous’.

Answer 4

Two sets A and B are equinumerous if and only if there is a one-to-one correspondence between the members of A and the members of B.