Set Theory In Sheep's Clothing.

The Three Main Medieval Points Of View Regarding Universals Are Designated By Historians As Realism, Conceptualism, And Nominalism. Essentially These Same Three Doctrines Reappear In Twentieth-century Surveys Of The Philosophy Of Mathematics Under The New Names Logicism, Intuitionism, And Formalism.

We Do Not Learn First What To Talk About And Then What To Say About It.

How Are We To Adjudicate Among Rival Ontologies? Certainly The Answer Is Not Provided By The Semantical Formula "to Be Is To Be The Value Of A Variable"; This Formula Serves Rather, Conversely, In Testing The Conformity Of A Given Remark Or Doctrine To A Prior Ontological Standard.

One Man's Antinomy Is Another Man's Falsidical Paradox, Give Or Take A Couple Of Thousand Years.

To Define An Expression Is, Paradoxically Speaking, To Explain How To Get Along Without It. To Define Is To Eliminate.