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visits member for 2 years, 7 months
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Jul
2
awarded  Curious
Mar
12
awarded  Notable Question
Oct
1
awarded  Popular Question
Sep
21
awarded  Yearling
Sep
3
accepted Motivation behind definitions of the Integral without reference to Derivatives
Sep
3
asked Motivation behind definitions of the Integral without reference to Derivatives
Sep
1
awarded  Organizer
Sep
1
revised One last question on the concept of limits
added limit tag
Sep
1
suggested suggested edit on One last question on the concept of limits
Sep
1
accepted What kind of “mathematical object” are limits?
Aug
9
awarded  Nice Question
Aug
8
comment What kind of “mathematical object” are limits?
I've mostly just considered it a symptom of the foundational crisis . That most of these concepts pre-date Set Theory and Mathematics is still "picking up the pieces" as it were and attempting to organize it's self in some grand unified logical schema (Like Category Theory). Also as a formal language done mostly with pen and paper there are also numerous practical considerations as well.
Aug
8
comment What kind of “mathematical object” are limits?
Nice catch, indeed my first introduction to high levels of abstraction was through computer science. I then found an interest in philosophy, particularly logic. Having moved on to general mathematics I started first with Set Theory and saw it as the "binary" or "assembly" of mathematics. Ever since I've often found myself frustrated at what I perceived as a lack of rigour in general mathematics notation and definitions. Especially considering mathematic's reputation as a discipline obsessed with rigour.
Aug
8
asked What kind of “mathematical object” are limits?
Jul
14
accepted Subtraction by 1 when solving terms of sequences?
Jul
14
awarded  Supporter
Jul
14
asked Subtraction by 1 when solving terms of sequences?
Jul
12
accepted Can any Polynomial be factored into the product of Linear expressions?
Jul
12
asked Can any Polynomial be factored into the product of Linear expressions?
Jun
1
accepted Proving $\sin x + \sin x \cdot \cot^2 x = \csc x $