Abstract object theory

thumb|Peter Abelard, a French philosopher, theologian and preeminent logician, put forward the theory of conceptualism. In metaphysics, conceptualism is a theory that explains universality of particulars as conceptualized frameworks situated within the thinking mind. Intermediate between nominalism and realism, the conceptualist view approaches the metaphysical concept of universals from a perspective that denies their presence in particulars outside the mind's perception of them. Conceptualism is anti-realist about abstract objects, just like immanent realism is (their difference being that i

in metaphysics, repeatable or recurrent qualities that can be instantiated or exemplified by many particular things

In philosophy of mathematics, logicism is a school of thought comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or all of mathematics may be modelled in logic. Bertrand Russell and Alfred North Whitehead championed this programme, initiated by Gottlob Frege and subsequently developed by Richard Dedekind and Giuseppe Peano.

Polish philosopher, psychologist and logician (1866–1938)

theory stating that external physical reality is a mathematical structure

classifications that denote whether a term describes an object with a physical referent or one with no physical referents

British philosopher, born 1948

ideal object, whose existence depends upon a subject's mind

a thought object that does not have an equal in the real world

branch of metaphysics regarding abstract objects

concept in metaphysics

viewpoint in the philosophy of mathematics