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:
“What avail all your scholarly accomplishments and learning, compared with wisdom and manhood? To omit his other behavior, see what a work this comparatively unread and unlettered man wrote within six weeks. Where is our professor of belles-lettres, or of logic and rhetoric, who can write so well?”
—Henry David Thoreau (1817–1862)
“The much vaunted male logic isn’t logical, because they display prejudices—against half the human race—that are considered prejudices according to any dictionary definition.”
—Eva Figes (b. 1932)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)