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:
“Histories make men wise; poets witty; the mathematics subtle; natural philosophy deep; moral grave; logic and rhetoric able to contend.”
—Francis Bacon (1561–1626)
“We want in every man a long logic; we cannot pardon the absence of it, but it must not be spoken. Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as propositions and have a separate value, it is worthless.”
—Ralph Waldo Emerson (1803–1882)
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”
—Walter Reisch (1903–1963)