finitismn.
/ˈfʌɪnʌɪtɪz(ə)m/, U.S. /ˈfaɪnəˌtɪzəm/ a. Philosophy and Theology. The belief that the world, or some realm, or God, is finite.
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the mind > mental capacity > philosophy > metaphysics > [noun] > finitism or infinitism
finitism1922
infinitism1922
society > faith > aspects of faith > doctrine > doctrine concerning God or a god > [noun] > finitism
finitism1922
1922 W. R. Inge Outspoken Ess. II. 19 Finitism and Infinitism are equally demonstrable and equally refutable.
b. Mathematics. The doctrine that only methods involving a finite number of steps should be used in mathematics; the rejection of actual infinities.
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the world > relative properties > number > mathematics > [noun] > theories or branches of
menadry1570
pure mathematics1605
mechanics1612
residuation1846
chaos theory1880
number theory1901
formalism1913
intuitionism1913
replacement theory1914
biomathematics1923
proof theory1929
finitism1935
mereology1938
combinatorics1941
cryptarithmetic1943
game theory1945
numerical analysis1946
queueing theory1951
constructivism1959
complexity1963
catastrophe theory1971
chaology1985
the mind > mental capacity > philosophy > mathematical philosophy > [noun] > doctrines of
number theory1899
mathematicism1917
proof theory1929
finitism1935
constructivism1959
1935 A. Ambrose in Mind XLIV. 186 (title) Finitism in mathematics.
1956 G. E. M. Anscombe tr. L. Wittgenstein Remarks Found. Math. ii. 63 Finitism and behaviourism are quite similar trends... Both deny the existence of something, both with a view to escaping from a confusion.
1964 J. A. Benardete Infinity i. 25 With the return to finitism, the infinite series is no longer viewed as actually infinite.
This entry has not yet been fully updated (first published 1972; most recently modified version published online March 2022).
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n.1922