Some philosophers put forth fundamental theories of everything.
Descartes, Spinoza, Kant
Others address philosophic issues one at a time.
G.E. Moore
Ontology
The ontology (or ontological commitment) of a theory consists of the kinds of entities it postulates. For example,
Idealism: only minds and mental phenomena
Berkeley, Bradley
Materialism: only physical objects and processes
Thomas Hobbes
Monism: only one kind of substance
Spinoza
Dualism: two kinds of substance, mental and physical.
Descartes
Extreme Metaphysics vs Common Sense
Extreme Metaphysics
Some philosophers have argued there are no physical objects, time is unreal, and tomatoes aren’t red or any other color.
Common Sense Worldview
The worldview of common sense and science.
The universe consists of physical objects, atoms, subatomic particles, radiation, energy, space, and time.
Perception and memory are for the most part reliable.
Events are generally caused.
The universe runs according to laws of nature.
Human beings and some animal species are conscious.
Skepticism vs Common Sense
Skepticism
There’s no rational basis for believing, for example, that there are physical objects, other human beings are conscious, and there will be a sunrise tomorrow. No one knows whether these things are true.
Common Sense Worldview
It’s rational to believe the worldview of common sense and science. Everyone knows there are physical objects, other human beings are conscious, and there will be a sunrise tomorrow.
Role of Math and Science
Developments in math and science have affected philosophy significantly
Mathematical Proof
Proof in Euclid’s Elements that √2 is irrational
Axiom Systems
Euclid’s axiomatic development of plane geometry
Scientific Theories
Newton’s laws of motion and his theory of gravitation