Verifiability, Not Truth - Meaning of "truth" in Different Subject Areas - Logic and Mathematics

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 (1922–1986)

    Somebody who should have been born
    is gone.

    Yes, woman, such logic will lead
    to loss without death. Or say what you meant,
    you coward . . . this baby that I bleed.
    Anne Sexton (1928–1974)

    It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.
    George Bernard Shaw (1856–1950)