there are anthropocentric and evolutionary features that the philosophical investigations on this topic have not focused on much: — Doru B
However, there are anthropocentric and evolutionary features that the philosophical investigations on this topic have not focused on much:
https://medium.com/@cb_67963/human-mathematics-and-gods-mathematics-682ac8e7bba — Doru B
Well, the history of science has proved that whatever complex concepts mathematicians created, they finally came to be applicable in the mathematics of physics or even to directly describe an empirical context.
In 1950, Nicholas Bourbaki, who shaped the concept of mathematical structure and types of structures from a set-theoretic perpective, asked in his influential The Architecture of Mathematics whether the unity of mathematics is the outcome of formal logic or simply this scientific fertility.
My 'anti-platonist pragmatics' (finitism?) comes to this: pure mathematics is invented (re: pattern-making) and applied mathematics is discovered (re: pattern-tracking) — 180 Proof
In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics.
The question seems a correspondent of the most popular question “Was mathematics invented or discovered?” and relates to the nature of mathematics as well as to the philosophical problem of applicability of mathematics. However, there are anthropocentric and evolutionary features that the philosophical investigations on this topic have not focused on much — Doru B
Nowadays we also invent a load of completely useless mathematics, of which perhaps a small fraction will ever find an application, and the rest will gather dust in mathematical journals and specialist books. — SophistiCat
What motivates all those math people? Tenure/promotion considerations. Prestige within a community. Delight in the exploratory aspects of a subject with few constraints arising from the physical world - free rein for one's imagination. — jgill
From my vantage point as a very senior citizen, the first thing I note is the huge number of people pursuing activities compared with 60 years ago. I haven't a clue as to numbers of mathematicians then and now. But at that time the outdoor sport I became involved with had perhaps a couple of thousand fairly serious devotees here in the USA. Now there are well over six million. World-wide there may be ten million or more. It staggers the mind. — jgill
Not in the way you put it. Philosophy asks a question in a different sense because reality, to philosophy, can be inquired upon in a different sense. However philosophy draws empirical examples and evidence from science.Isn't it that philosophy generally avoid science in collaborating on philosophical topics? — Doru B
Ha! You think there is a connection? :) From my own experience, I've known a few physicist and astronomer climbers, but can't recall any mathematicians off the top of my head — SophistiCat
Short rock climbs are frequently referred to as "problems" — jgill
logic is a processing structure encoded genetically into our mind which comes from the way reality moves — Miller
the brain is not a crystal ball. it has a genetic structure — Miller
They are not programmed by my DNA — AgentTangarine
before you were born you were nothing but a strand of dna — Miller
There is no math formula corresponding to a piece of music. — AgentTangarine
a piece of music is nothing but a pattern. you just call it music since it alleviates your boredom and raises your dopamine — Miller
Computers play music. — jgill
masterbation feels great — Miller
The soundwave pattern of music cannot be thrown in a mathematical formula. Only short pulses of music can. — AgentTangarine
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