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Page "Sorites paradox" ¶ 20
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Indeed and if
Indeed, if pressed, we would say what the late Robert Henri, American painter, said to a pupil, `` Anything will do for a subject: it's what you do with it that counts ''.
Indeed, one such clause can be rewritten as, that is, if are all true, then y needs to be true as well.
Indeed, the expert system quickly developed in front of the expert shows him if the future application should be programmed.
Indeed, after something like thirty years ' experience of international conferences of one kind and another, if I had to pick a team for going into a conference room, Stalin would be my first choice.
Indeed it has been noted it is difficult if not impossible to define one category without contrasting it with the other.
Indeed it was argued that, if the nature of reality itself was in question, and if previous restrictions which had been in place around human activity were dissolving, then art, too, would have to radically change.
Indeed, in 1603 Johann Bayer gave three of these clusters designations as if they were single stars.
Indeed, even if the photoelectric effect is the favoured reaction for a particular single-photon bound-electron interaction, the result is also subject to statistical processes and is not guaranteed, albeit the photon has certainly disappeared and a bound electron has been excited ( usually K or L shell electrons at nuclear ( gamma ray ) energies ).
Indeed, if a husband had no natural brothers, he would adopt another man to be his brother so that he would be allowed to marry.
Indeed, if x and y are integers satisfying this equation, then x / y is an approximation of √ 2.
" Indeed, Diodorus goes so far as to say that " But if any man, putting envy aside, will estimate closely not only the man's natural gifts but also his achievements, he will find that on both counts Themistocles holds first place among all of whom we have record.
Indeed, if ( A, φ ) is an initial morphism and k: A → A ′ is any isomorphism then the pair ( A ′, φ ′), where φ ′ =
Indeed, if the sapling dies, the mature tree gains nutrients from the decaying sapling.
As historian Richard Lane concludes, " Indeed, if there is one work that made Hokusai's name, both in Japan and abroad, it must be this monumental print-series ...".
Indeed, a totally ordered set ( with its order topology ) is compact as a topological space if it is complete as a lattice.
Indeed, those who refused to leave were generally removed from their barracks, sometimes by force, even if they had no place to go.
Indeed, a set is nowhere dense if and only if its closure is nowhere dense.
) Indeed, if a space is Hausdorff then it is T < sub > 0 </ sub >, and each T < sub > 0 </ sub > regular space is Hausdorff: given two distinct points, at least one of them misses the closure of the other one, so ( by regularity ) there exist disjoint neighborhoods separating one point from ( the closure of ) the other.
Indeed, if the order the winning cards are placed is fixed it is possible to create an infinite loop wherein neither side will win and the game will not end.
Indeed, even if the interest of the bonds it holds ( for example ) is paid semi-annually, the value of its book of bond will increase daily, thanks to accrued interest being accounted for, and therefore the bank will be able to re-invest these daily accrued interest ( by lending additional money or buying more financial products ).
Indeed if:, and
Observe first the following: if a is a limit point of S, then any finite collection C of open sets, such that each open set U ∈ C is disjoint from some neighborhood V < sub > U </ sub > of a, fails to be a cover of S. Indeed, the intersection of the finite family of sets V < sub > U </ sub > is a neighborhood W of a in R < sup > n </ sup >.
Indeed, the effect was quite the contrary, psychology began to thrive: " perhaps, in the early days of scientific progress, a subject often grows all the more surely if its workers have to meet difficulties, improvise their apparatus, and rub very close shoulders one with another.

Indeed and precise
Indeed, astrologers ' professional responsibility and desire for predictive knowledge for a large part spurred the advancement of astronomy, and the Babylonians developed a very precise ability to mathematically predict the location of celestial points and phenomena based upon their observable cycles.
Indeed in the Monist article Peirce had said that the coinage " pragmaticism " was intended " to serve the precise purpose of expressing the original definition ".

Indeed and definition
Indeed, the International Committee for Weights and Measures ( CIPM ) notes that " its definition applies only within a spatial extent sufficiently small that the effects of the non-uniformity of the gravitational field can be ignored.
Indeed, the most elementary definition of bipolar disorder is an often " violent " or " jarring " state of essentially uncontrollable oscillation between hyperthymia and dysthymia.
Indeed, the expression inertial frame of reference () was coined by Ludwig Lange in 1885, to replace Newton's definitions of " absolute space and time " by a more operational definition.
Indeed, Stevens's definition of measurement was put forward in response to the British Ferguson Committee, whose chair, A. Ferguson, was a physicist.
( Indeed, a relative intrinsic values is a self-contradictory term ; intrinsic values are also absolute or else they are by definition in intrinsive ).
Indeed, similarly to the definition for formal power series, the coefficient of of two series with respective sequences of coefficients and is
Indeed, given the efficient market hypothesis, which implies that a thorough analysis of stock data is irrational, most rational shareholders are, by definition, not investors, but speculators.
Indeed, the Heine – Borel definition of compactness — that every covering of a space by open sets admits a finite subcovering — is relatively recent.
Indeed, this is essentially an algebraic translation of these geometric terms: the coordinate ring of any affine variety is, by definition, a finitely generated k-algebra, so Noetherian ; moreover curve means dimension one and nonsingular implies ( and, in dimension one, is equivalent to ) normal, which by definition means integrally closed.
Indeed, Marx's break with German Idealism involves a new definition of philosophy ; Louis Althusser, founder of " Structural Marxism " in the 1960s, would define it as " class struggle in theory ".
Indeed in S. Ó Ríordáin ’ s common morphological definition, he refers to the banks and fosses of the ringfort as defences.
Indeed the simplest definition of a voltage is given by Ohm's law: V = IR, where V is voltage, I is current and R is resistance.
Indeed, the condition for compactness in join-semilattices translates immediately to the corresponding definition.
Indeed, many terrestrial planets would be considered desert planets by this definition.
Indeed, given the breadth of the definition of ' terrorism offences ', it is difficult to see how such evidence could be produced.
Indeed, the proof that a logical system or theory is undecidable will use the formal definition of computability to show that an appropriate set is not a decidable set, and then invoke Church's thesis to show that the theory or logical system is not decidable by any effective method ( Enderton 2001, pp. 206ff.
Indeed, the very choice to present arguments from definition instead of from consequence implies that one of the modes of reason carries greater value.
Indeed, letting and using the definition of we obtain the result.
Indeed, it states that many commandments and stipulations contained in the Torah would be difficult, if not impossible, to keep without the Oral Law to define them — for example, the prohibition to do any " creative work " (" melakha ") on the Sabbath, which is given no definition in the Torah, and only given practical meaning by the definition of what constitutes ' Melacha ' provided by the Oral Law and passed down orally through the ages.
Indeed, if and are log-concave functions, then and are concave by definition.
Indeed, it is now appropriate to alter the above definition of perfect information: at every stage in the game, every player knows what has been played by the other players.

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