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 hope fade somewhat by thirty-six, when endings seem more like clear warnings than useful experience.”
—Jane O’Reilly, U.S. feminist and humorist. The Girl I Left Behind, ch. 2 (1980)
“The logic of the world is prior to all truth and falsehood.”
—Ludwig Wittgenstein (1889–1951)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)