Our natural instinct
tells us what is the difference between right and wrong, or maybe the benefit
of the doubt, to believe that something exists because of “the need” sums up
the idea why something exist. Now, we live in a world that is heading toward
modernization, do ask ourselves why have this begun? In search of the truth
lies within its root, a seed that grew throughout the ages somehow made its big
difference. Like, mathematics from a small 1+1=2 emerged to x2+4x+4.
But, do we really know why there is mathematics, or why did it begun?
“What
is Mathematics Really” is a book that was originally wrote by Richard Courant
and Herbert Robins. The thought was further discussed in Reuben Hersh book.
Which, he believes that the reason why there is Mathematics is because of the
philosophy Humanism. This book is really interesting because it deals to what
is mathematic in a socio-cultural perspective. Thus, the meaning of Math’s is
bounded towards its axis.
Reuben
Hersh discussed that there are three point of view in which he debated the
nature of mathematics; first is the Formalist, describing the use of math’s in
a form of arbitrary rules with formal and logical terms are involved. But,
Reuben Hersh objects and says that “mathematics is an otherwise meaningless
game played by explicit but arbitrary rules.” because it misleading the
application in real life.
Second, Reuben Hersh discussed the second point of view
that is Platonist. Here he discussed that Platonism doesn’t relate to material
reality. More so, he says that Platonism intuition “is the mechanism for
accessing the postulated ideal world”.
And the last philosophical point of view that Reuben
Hersh discussed was the Intuitionism, the most essential between the two
philosophies because this philosophy saw everybody as essentially finite. Thus,
this add up to the thought that our mind establishes the formation of natural
numbers based on our experience and thinking.
Since,
Reuben Hersh believes the philosophy Humanism, he accepts that mathematics
deals with the mental objects. In addition, human construction deals with the
knowledge within our self, thus, he says that mathematical perspective is
within human objectivity that is derived towards our socio-cultural constructs.
To sum up all, Reuben Hersh believe that mathematics exist is because of human
intuition, or Humanism.
Initially, Hersh was trying to express concepts to the simplest way he can. He was trying to use the "humanism" approach as he have said. Nevertheless, as he went on, he is already loosing the consistency of his approach which lead readers find it hard to read.
ReplyDeleteOur philosophical relationship with math has seen by others as useless throughout the years because of its complications. But, isnt it math that made our life easier and more convenient through its discoveries and inventions?
ReplyDeleteOhh,, nice title.. I wish i could read the review some other time. ^_^
ReplyDeleteThe philosophy behind mathematics is not easy to understand that's why we need to have a deeper comprehension about it's nature.
ReplyDeleteit's was nice that you were able to sum up the book. most reviews are pretty lengthy which almost make them boring. good job on stating gist
ReplyDeleteYou did a great job in explaining the 3 key points of Reuben Hersh's book. Keep up the good work!
ReplyDelete