Logic Is An Old Subject, And Since

Irrefragability, Thy Name Is Mathematics.

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.

The Lore Of Our Fathers Is A Fabric Of Sentences. A Pale Gray Lore, Black With Fact And White With Convention.

We Must Not Leap To The Fatalistic Conclusion That We Are Stuck With The Conceptual Scheme That We Grew Up In. We Can Change It, Bit By Bit, Plank By Plank, Though Meanwhile There Is Nothing To Carry Us Along But The Evolving Conceptual Scheme Itself. The Philosopher's Task Was Well Compared By Neurath To That Of A Mariner Who Must Rebuild His Ship On The Open Sea.

The Scientist Is Indistinguishable From The Common Man In His Sense Of Evidence, Except That The Scientist Is More Careful.