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5 votes

Why do numbers apply to such disparate concepts?

You should not be surprised. Numbers were conceived to model concepts such as length, area, angles and so on. Any qualities that vary by extent can be compared in an analogous way. For example, the ...
Marco Ocram's user avatar
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2 votes

Why do numbers apply to such disparate concepts?

I think that the more fundamental question is "why is our world so free" in the mathematical sense of free. For example, as others have pointed out, the natural numbers can be generated from ...
AnttiP's user avatar
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2 votes

Why do numbers apply to such disparate concepts?

There are a host of different philosophical positions on what math is. The philosophy of math has positions such as Platonic realism, constructivism, structuralism, etc. Numbers are by some defined to ...
J D's user avatar
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2 votes

Why do numbers apply to such disparate concepts?

The so-called real numbers are based on the natural numbers, which in turn are based on the primitive notions of first and next as follows: Let '1' symbolize the first object in some collection of ...
Dan Christensen's user avatar
2 votes

Why do numbers apply to such disparate concepts?

Number is a formal abstraction created specifically to do what they do. What I mean by formal abstraction is sometimes illustrated by parallel lines. What parallel lines have in common is that they ...
David Gudeman's user avatar
2 votes

The "slow and gradual" reduction of numbers from qualitative elements to pure quantities

Assume that mathematics has a lot of objective content or structural value, despite its many changes over the ages (and the surprising level of vehement disagreement that attended or even to this day ...
Kristian Berry's user avatar
1 vote

Numbers and Time

Your question reminds me of the broader one that is often mentioned on this site, asking why the Universe can be modelled by mathematics at all. I will address point 1) in your list of motivations, as ...
Marco Ocram's user avatar
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1 vote

Numbers and Time

Time is what a clock measures. A clock is a machine that does the same process over and over and moves a pointer from one entry in an ordered set without an upper bound to the next entry in the set ...
g s's user avatar
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1 vote

Why does Plato rank numbers fundamentally below certain other ideas?

Look at this part 511C-D which I take from Elaine Landry https://youtu.be/IqMWVNHg5Gc?t=372 because it has the best translation I can find imo: Landry gives Glaucon's shocked reply to hearing ...
J Kusin's user avatar
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