Sentences with phrase «infinite series of numbers»

The infinitesimal monads of Leibniz thus would no longer require God and the principle of sufficient reason to differentiate themselves because infinite series of numbers would arrange themselves naturally into Cantor's transfinite ordering.

Not exact matches

Since the infinitist must hold that there is an actual event O which is infinitely distant from any arbitrarily designated present B, we may take the existence of O as logically positing an infinite number of intermediaries between O and E, and we can then ask how an infinite series of» intermediary events, one after another, could be instantiated and exhaustively enumerated so that we finally reach E.

It is entirely possible that this is just the latest in an infinite series of big bangs and «big crunches» where the Universe ultimately collapses back in on itself, only to «Big Bang «again; our Universe may be one of an infinite number in a multiverse; or time itself may have been created in the Big Bang.

The general implication of generating such an infinite series is that any process taking place over a continuum can not be accomplished, for this would mean successively achieving an infinite number of states or positions in that process.

The direction is wrong: Zeno can take a space and divide it into an infinite number of segments, a self can have a series of impressions, and concrete experience can be divided into its parts.

Second, there are other alternatives; (i) the Universe we live in is one of an infinite number stretching back in time with no start in time, but a series of expansions and contractions; (ii) we are one of an infinite number of universes in a multiverse.

Author's Note: In Part One of this series, I discussed the importance of using technology in political efforts not just to build a better persuasion tool, but to scale meaningful relationships with an infinite number of people.

Noland became celebrated in the 1950s for his series of concentric circles in a dazzling array of colours; not, like the paintings of Jasper Johns, targets, but circles as a simple geometric form that could demonstrate an infinite number of colour combinations.

Maybe it would be better to desribe it as a Function, with an output consisting of an infinite real number series.

If the time series is inherently discrete, what you really want is the DTFT (Discrete - Time Fourier Transform) but to compute that you'd need an infinite number of data points, obviously an impossibility.

All he is saying is that by only solving a finite number of terms in a a divergent infinite series his calculations don't go to infinity.

Science has no answer, or rather the best current answer offered by science is the so - called multiverse which postulates a reality of an infinite or near infinite number of universes each born with different information in them and so in an infinite series there must inevitably be a universe just like ours — in fact an infinite number of them just like ours.

Yes the series of reflections is infinite but it converges on a finite number.

Given the large number of data series in existence (and the nearly infinite number of combinations thereof), it would literally be impossible to attempt replication of Jones» results without explicit guidance as to which data were used in the original work.

Unit root and stationary processes differ in their implications at infinite time horizons, but for any given finite number of observations on the time series, there is a representative from either class of models that could account for all the observed features of the data.