Logic and Mathematics
The field of mathematics is strongly based in logic; most, but not all, math operations provide statements whose truth, falsehood, or unknowability is beyond dispute. 2 + 2 = 4 is true, as is 28 = 256. 2 + 2 = 5 is false. The value of Chaitin's constant Ω is unknowable.
There are many other sciences that make an extensive use of maths, such as most formal sciences and physical sciences. The same rule applies to them, as far as it is based only on basic maths. Statements beyond mere calculations, such as proposed theories, must be described, cited and attributed as anything else.
Read more about this topic: Verifiability, Not Truth, Meaning of "truth" in Different Subject Areas
Famous quotes containing the words logic and, logic and/or mathematics:
“Logic and fact keep interfering with the easy flow of conversation.”
—Mason Cooley (b. 1927)
“Though living is a dreadful thing
And a dreadful thing is it
Life the niggard will not thank,
She will not teach who will not sing,
And what serves, on the final bank,
Our logic and our wit?”
—Philip Larkin (1922–1986)
“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.”
—Willard Van Orman Quine (b. 1908)