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:
“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 (19221986)
“It is the logic of our times,
No subject for immortal verse
That we who lived by honest dreams
Defend the bad against the worse.”
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“... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.”
—Amelia E. Barr (18311919)