- mathematics,
particularly in
number theory,
Hillel Furstenberg's
proof of the
infinitude of
primes is a
topological proof that the
integers contain infinitely...
- Press. pp. 28–29. ISBN 0-691-09983-9. Furstenberg,
Harry (1955). "On the
infinitude of primes".
American Mathematical Monthly. 62 (5): 353. doi:10.2307/2307043...
- of
prime numbers." It has also been maintained, that, in
proving the
infinitude of the
prime numbers,
Euclid "was the
first to
overcome the
horror of...
- prōtos arithmòs (πρῶτος ἀριθμὸς). Euclid's
Elements (c. 300 BC)
proves the
infinitude of
primes and the
fundamental theorem of arithmetic, and
shows how to...
- all my lectures," he wrote, "I have
taught one doctrine, namely, the
infinitude of the
private man."
Emerson is also well-known as a
mentor and friend...
- In logic,
proof by
contradiction is a form of
proof that
establishes the
truth or the
validity of a
proposition by
showing that ****uming the proposition...
-
Euclidean algorithm; Elements, Prop. VII.2) and the
first known proof of the
infinitude of
primes (Elements, Prop. IX.20). In 1773,
Lessing published an epigram...
- into the
temporal realm, from
unconditioned to the conditioned, from
infinitude to finitude". An avatar,
states Justin Edwards Abbott, is a
saguna (with...
-
Unsolved problem in mathematics: Are
there infinitely many
regular primes, and if so, is
their relative density e − 1 / 2 {\displaystyle e^{-1/2}} ? (more...
-
Omniscient knowledge of
Arihants be
victorious in the universe! The four
infinitudes (ananta cātuṣṭaya) are:
ananta jñāna,
infinite knowledge ananta darśana...
