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1 vote
1 answer
99 views

why learning math in elementary school was harder for me rather than upper grades? [closed]

When I was an elementary student, I'd suffered from understanding basic things like multiplication table and other simple things and I had to memorized them. Last hours I was searching for genesis of ...
User14373's user avatar
3 votes
2 answers
273 views

What are fun mathematical facts for non-mathematicians? [duplicate]

I like to spend my life with mathematics. I think it is the best thing I can do in my life. However, I have great difficulty explaining what I am doing to non-mathematicians, even educated ones. For ...
boyler's user avatar
  • 375
0 votes
1 answer
77 views

What are some good references to help explain the need for an axiom schema of replacement rather than an axiom of replacement?

I’m looking for reading material about the philosophical and mathematical issues that may result from using an axiom schema of replacement rather than an axiom of replacement. Among other things, it ...
Matt Insall's user avatar
-1 votes
1 answer
99 views

Difference between zero apples and zero oranges. [closed]

There are two plates, one with an apple and another with orange. Yes, they are different now, but what if I take both the fruits out?
Fr0zen's user avatar
  • 91
0 votes
1 answer
193 views

Is there an equivalent to the Stanford Encyclopedia of Philosophy for mathematics? [closed]

If not: where do you go when you want a short, accessible overview of an area of research?
PhilosophyLurker's user avatar
12 votes
2 answers
2k views

Why don't mathematicians introduce intuition behind concepts as physicists do?

First of all please don't be angry - if anyone might be - and thoughtlessly downvote this post. I'll make it clear that I'm not here to criticise mathematicians - but rather to understand. I ...
abouttostart's user avatar
1 vote
2 answers
225 views

How do we create new mathematics symbols/concepts?

In philosophy, you can just create a new word or give existing meaning to a new word, and often the philosophers don't even define what these concepts mean. For example, Hegel in his book ...
Sayaman's user avatar
  • 313
0 votes
0 answers
38 views

Using system of linear equations to solve problems

When we have a system of linear equations we are trying to find the solution of the system (if exists). Are we doing the same when we use system of linear equations to describe something (make an ...
ado sar's user avatar
  • 256
3 votes
2 answers
152 views

Should we define something after we have prove that exists based on the axioms?

In last days I have a hard time to understand what a definition is in mathematics. Until today I thought definition had a dual role in mathematics. Dictionary role The first role is that it mereley ...
Fibo's user avatar
  • 31
1 vote
1 answer
67 views

Are there operations that can't be defined using a rule, and if they exist what is their significance?

Wikipedia:Operations(mathematics) In mathematics, an operation is a function which takes zero or more input values (called operands) to a well-defined output value What I took away from this fact ...
lmn32's user avatar
  • 99
2 votes
1 answer
251 views

Is an Elegant Solution Preferred over a Brute-Force Solution?

Is it an unwritten rule at the heart of mathematics to always look for an "elegant" solution and always look at brute force computation as sort of tarnishing the mathematical beauty? Take for example ...
Angry_Math_Person's user avatar
46 votes
6 answers
6k views

Does advanced math "power" more rudimentary math?

I came across this quote by Eric Weinstein that "when things got supposedly more advanced, they actually got simpler because mathematicians started revealing what was powering all the things that you ...
Hui Wang's user avatar
  • 535
4 votes
2 answers
198 views

Should one always perform logical reasoning intuitively and contentually?

I have been studying mathematics for more than a year now. In general, it's relatively easy for me to solve the exercises and to find proofs for certain propositions myself. In this sense, I would say ...
RememberMyName's user avatar
-1 votes
1 answer
184 views

Artificial intelligence methods in mathematics

Are there aritficial intelligence methods in mathematics, automatic theorem discovery and proving? Google gives results in the opposite direction - mathematical methods of AI. Are there applications ...
TomR's user avatar
  • 1,323
3 votes
5 answers
2k views

Does taking courses in mathematics give any help for mathematical logic?

I'm undergraduate student of philosophy department and I think I'll major in mathematical logic. For studying mathematical logic, I thought studying math lectures would give help to logic. So I ...
fbg's user avatar
  • 861

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