He made pioneering contributions to all fields of philosophy and science, he
invented the field of formal logic
, and he identified the various scientific disciplines and explored their relationships to each other. Aristotle was also a teacher and founded his own school in Athens, known as the Lyceum.
What was Plato’s contribution to mathematics?
Plato the mathematician is perhaps best known for
his identification of 5 regular symmetrical 3-dimensional shapes
, which he maintained were the basis for the whole universe, and which have become known as the Platonic Solids: the tetrahedron (constructed of 4 regular triangles, and which for Plato represented fire), …
What did Aristotle do for math?
In his attempt
to work out theorems about ratios and infinite magnitudes
, Aristotle makes important mathematical observations about infinite magnitudes and may have been the first to attempt them.
What was Aristotle trying to solve?
Aristotle wants to
give an analysis of coming-to-be, i.e., change
, that will enable him to avoid this dilemma. His account is designed to explain both how change in general is possible, and how coming into existence is possible.
What were the ideas of Aristotle?
In aesthetics, ethics, and politics, Aristotelian thought holds that
poetry is an imitation of what is possible in real life
; that tragedy, by imitation of a serious action cast in dramatic form, achieves purification (katharsis) through fear and pity; that virtue is a middle between extremes; that human happiness …
Who is the father of mathematics?
Archimedes
is considered the father of mathematics because of his notable inventions in mathematics and science. He was in the service of King Hiero II of Syracuse. At that time, he developed many inventions. Archimedes made out a pulley system designed to help the sailors move objects up and down that are weighty.
What is mathematics According to Plato?
Platonism about mathematics (or mathematical platonism) is
the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices
. Just as electrons and planets exist independently of us, so do numbers and sets.
Does Aristotle believe in God?
God serves two roles in Aristotle’s philosophy.
He is the source of motion and change in the universe
, and He stands at the pinnacle of the Great Chain of Being by providing an example of pure form existing without any relation to matter.
What is Aristotle’s moral theory?
The moral theory of Aristotle, like that of Plato,
focuses on virtue, recommending the virtuous way of life by its relation to happiness
.
How did Aristotle impact the world?
Aristotle’s greatest impacts can be seen in
his creation of a logic system
, established many fields of sciences, and creation of a philosophy system which serves as one of the foundation works of philosophy even to this day. Aristotle was the first person to create and widely disseminate a system of logical thought.
What are the two accidental causes according to Aristotle?
[T3] There is a way in which things come to be as the outcome of
luck
: they come to be by virtue of accident, and luck is an accidental cause.
What is Aristotle’s formal cause?
According to Aristotle, the material cause of a being is its physical properties or makeup. The formal cause is
the structure or direction of a being
. The efficient cause is the thing or agent, which actually brings it about. And the final cause is the ultimate purpose for its being.
What is the problem of change?
The problem of change is
the problem of reconciling these seemingly incompatible truths
. Faced with apparent contradiction, philosophers often suspect equivocation. One might think, for example, that the stated “problem” simply confuses numerical and qualitative identity.
What were Plato’s main ideas?
Plato believed that
reality is divided into two parts
: the ideal and the phenomena. The ideal is the perfect reality of existence. The phenomena are the physical world that we experience; it is a flawed echo of the perfect, ideal model that exists outside of space and time. Plato calls the perfect ideal the Forms.
What did Aristotle believe about matter?
Aristotle believes that
all material substances are matter and form
. If you remember from the four causes, matter is one cause and form is another cause. Substance theory says that substances are the ultimate things in the universe. Aristotle defends his position on material substances in his book Metaphysics.
What is the philosophy of Aristotle?
In his metaphysics, he claims that there must be a separate and unchanging being that is the source of all other beings. In his ethics, he holds that it is only by
becoming excellent that one could achieve eudaimonia
, a sort of happiness or blessedness that constitutes the best kind of human life.
