/sci/ - Science & Math

>>8776495
This is a meme. Saying that the sum 1/2+1/4+1/8+ = 1 "deserves" the equal sign is bs. This result, while much more useful than OPs, is also just a theorem from SOME mathematical theory. Unless you're a mathematical platonist, there will be no reason to reserve this character for some particular theories.
E.g. in Peano arithmetic, 2+7=9. In modular arithmetic modulo 4, you have 2+7=1.
Both are theories helping you with some situations, and when you set up formal logic, you have some standard axioms for = and add your paritcular axioms, for =, on top of it. E.g. pic related 7 and 8, which are particular for nats, vs. the first few ones for =, such as a=b implies b=a, which is taken to hold for all theories that use equality.
Don't be a mathematical realist and then go on to choose your Platonism according to what you've found most useful.