Mathematics vs Reality

[steve_bank]

I was thinking of a line integral. Summation of a a curves's segment ds as ds goes to zero.

 

[Speakpigeon]

Today is there any purely abstract math that has no link to use on real world problems? Theoretical proofs that support practical math, like calculus, have a real function. There is a proof for example that the LaPlace and Fourier transform pairs are unique.

Necessity is the mother of invention. Geometry arose out of practical needs.

Maths is invention sometimes without necessity. So, necessity is not necessary.
EB

 

[lpetrich]

... Is math reality?

... What is the reality of mathematics?

That's been argued over a lot by mathematicians and philosophers:  Philosophy of mathematics. That article's table of contents lists these schools of thought:

• Platonism
• Mathematicism
• Logicism
• Formalism
• Conventionalism
• Intuitionism
  • Constructivism
  • Finitism
• Structuralism
• Embodied mind theories
  • Aristotelian realism
  • Psychologism
  • Empiricism
• Fictionalism
• Social constructivism
• Beyond the traditional schools
  • Unreasonable effectiveness
  • Popper's two senses
  • Philosophy of language

 

[steve_bank]

... Is math reality?

... What is the reality of mathematics?

That's been argued over a lot by mathematicians and philosophers:  Philosophy of mathematics. That article's table of contents lists these schools of thought:

• Platonism
• Mathematicism
• Logicism
• Formalism
• Conventionalism
• Intuitionism
  • Constructivism
  • Finitism
• Structuralism
• Embodied mind theories
  • Aristotelian realism
  • Psychologism
  • Empiricism
• Fictionalism
• Social constructivism
• Beyond the traditional schools
  • Unreasonable effectiveness
  • Popper's two senses
  • Philosophy of language

It is all in the head, including philosophy....

 

[Speakpigeon]

... Is math reality?

... What is the reality of mathematics?

That's been argued over a lot by mathematicians and philosophers:  Philosophy of mathematics. That article's table of contents lists these schools of thought:

• Platonism
• Mathematicism
• Logicism
• Formalism
• Conventionalism
• Intuitionism
  • Constructivism
  • Finitism
• Structuralism
• Embodied mind theories
  • Aristotelian realism
  • Psychologism
  • Empiricism
• Fictionalism
• Social constructivism
• Beyond the traditional schools
  • Unreasonable effectiveness
  • Popper's two senses
  • Philosophy of language

It is all in the head, including philosophy....

Nah. That's obviously absurdly absurd. Where would be "the head"?!
EB

 

[steve_bank]

It is all in the head, including philosophy....

Nah. That's obviously absurdly absurd. Where would be "the head"?!
EB

EB vs reakity.