>Fictionalism in mathematics was brought to fame in 1980 when Hartry Field published Science Without Numbers, which rejected and in fact reversed Quine's indispensability argument. Where Quine suggested that mathematics was indispensable for our best scientific theories, and therefore should be accepted as a body of truths talking about independently existing entities, Field suggested that mathematics was dispensable, and therefore should be considered as a body of falsehoods not talking about anything real. He did this by giving a complete axiomatization of Newtonian mechanics with no reference to numbers or functions at all. He started with the "betweenness" of Hilbert's axioms to characterize space without coordinatizing it, and then added extra relations between points to do the work formerly done by vector fields. Hilbert's geometry is mathematical, because it talks about abstract points, but in Field's theory, these points are the concrete points of physical space, so no special mathematical objects at all are needed.
Where were you when math was BTFO?
Whats your point?
>>8635402
That math has been BTFO
>>8636012
No it hasn't. This guy is just a nobody
>>8636026
>This guy is just a nobody
not an argument
Math is not about the real world.
>>8636037
/thread
>>8636037
Believe it or not there are people who think it is and that numbers literally exist.
>>8634498
That's interesting but how would you apply this? Proportionalities are so important to describing the world around us and do so practically. Science without numbers sounds incredibly impracticle.
>>8636041
>Believe it or not there are people who think it is and that numbers literally exist.
Then neither apples do exists.
Since apples come in an infinite number of shapes and weights the concept of apple is no different than the concept of triangle.
You're as moran as it gets.