Editing Philosophy of Mathematics (section)

== <span style="color: #FFFFFF;">Analyzing</span> ==
{| class="wikitable"
|+ Platonism vs. Nominalism
! Feature !! Platonism (Math is Real) !! Nominalism (Math is a Tool)
|-
| Nature of Numbers || Real objects in another world || Symbols and concepts in our heads
|-
| Knowledge || Discovered || Invented
|-
| Reality || 'Universal' (same for aliens) || 'Human' (a cultural product)
|-
| Analogy || Finding a new continent || Creating a new language
|}

**The Concept of "Abstractness"**: A "7" isn't anywhere. You can't put it in a box. But if you have 7 apples and you eat 2, you have 5 left. This link between the "Abstract Rule" and the "Physical Apple" is the most mysterious part of the universe. Analyzing this "Mapping" is the core task of the philosophy of mathematics.
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