2+2= ? Help XD......
Answers
Step-by-step explanation:
Two ways I can think of to look at it:
1) "2+2=4" is an "analytic statement" (Kant), also called "relations of ideas" (Hume), where a statement is true or false based on its meaning or definition. For example - no bachelors are married, 2+2=4, and triangles have 3 sides. So, that is how we define arithmetic to work. Or...
2) The expression "2+2=4" relies on underlying assumptions, specifically on "Set Theory". In Set Theory when you apply the logical union on two disjoint sets that each has a cardinality of "2", and then count the members of the combined set, it will have a cardinality of "4". We use the arithmetic shorthand, "2+2=4" to represent these underlying Set Theory concepts. If we had chosen to base arithmetic on other premises, then "2+2=4" would not necessarily be true. For example, if the two sets being combined were not required to be disjoint, then the operation, "2+2" could mean something else. The same is famously true in Euclidean geometry - it is based on an axiom "parallel lines do not cross". Non-Euclidean geometry is not based on this axiom, and therefore has a very different set of "truths".
Hope it helps :D,
Alyssa ❤