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Russell W. Howell
Ph.D. (Königsberg) on February 7, 1885
Immanuel Kant (1724 – 1804):
Proposed the “synthetic a priori” nature of space and number
David Hilbert, 1886
2+3 = 5
(or, 2+3 have one sum)
A bachelor is an unmarried male
The morning star is the evening star (Kripke)
(A necessary truth—Venus is necessarily identical to itself—rather than an analytic truth)
Sacramento is the capital of California
“Das ist nicht Mathematik.
Das ist Theologie!”
David Hilbert, 1890
“God created the integers, all else is the work of man.”
“No one will drive us out of this paradise that Cantor has created for us!”
Interaction during a Göttingen lecture:
Student: “You say that we can’t know whether in the decimal representation of ten 9’s occur in succession. Maybe we can’t know—but God knows!”
Brouwer: “I do not have a pipeline to God.”
Possibilities for discussion
THE ANALYST; OR, A DISCOURSE Addressed to an Infidel MATHEMATICIAN. WHEREIN It is examined whether the Object, Principles, and Inferences of the modern Analysis are more distinctly conceived, or more evidently deduced, than Religious Mysteries and Points of Faith.