that is, for any statement that is a logical consequence of there actually exists a deduction of the statement from.

He is the enigmatic dictator of Oceania, a totalitarian state taken to its utmost logical consequence – where the ruling Party wields total power for its own sake over the inhabitants.

where is a metalogical symbol meaning that is a syntactic consequence if and are each on lines of a proof in some logical system ;

where is a metalogical symbol meaning that is a syntactic consequence of, and in some logical system ;

where is a metalogical symbol meaning that is a syntactic consequence of in some logical system ;

where is a metalogical symbol meaning that is a syntactic consequence of, and and in some logical system ;

Dyson speculated that such structures would be the logical consequence of the long-term survival and escalating energy needs of a technological civilization, and proposed that searching for evidence of the existence of such structures might lead to the detection of advanced intelligent extraterrestrial life.

Although the logical consequence relation is only semidecidable, much progress has been made in automated theorem proving in first-order logic.

For example, while " all men are mortal " is unfalsifiable, it is a logical consequence of the falsifiable theory that " every man dies before he reaches the age of 150 years ".

The compactness theorem says that if a formula φ is a logical consequence of a ( possibly infinite ) set of formulas Γ then it is a logical consequence of a finite subset of Γ.

This is an immediate consequence of the completeness theorem, because only a finite number of axioms from Γ can be mentioned in a formal deduction of φ, and the soundness of the deduction system then implies φ is a logical consequence of this finite set.

In the Arabic, aorist aspect is the logical consequence of past tense.

An intended consequence of this opinion, for most logical positivists, is that metaphysical, theological, and ethical statements fail this criterion, and so are not cognitively meaningful.

where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;

where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;

Rand believed that egoism was the logical consequence of humans following evidence wherever it leads them.

# Predicting a logical consequence of the hypothesis

# A deity is able to do anything that is in accord with its own nature ( thus, for instance, if it is a logical consequence of a deity's nature that what it speaks is truth, then it is not able to lie ).

If the negated query can be refuted, i. e., an instantiation for all free variables is found that makes the union of clauses and the singleton set consisting of the negated query false, it follows that the original query, with the found instantiation applied, is a logical consequence of the program.

If the negated query can be refuted, it follows that the query, with the appropriate variable bindings in place, is a logical consequence of the program.

They are degrees of ( partial ) entailment, or degrees of logical consequence, not degrees of belief.

where is a metalogical symbol meaning that, in the first case, and in the other are syntactic consequences of in some logical system ;

They need to be analyzed and criticized in all their manifestations ; the function of both logical and axiological oppositions must be studied in all discourses to provide meaning and values.

But this doesn ’ t mean that they don ’ t need to be analyzed and criticized in all its manifestations, showing the way these oppositions, both logical and axiological, are at work in all discourse for it to be able to produce meaning and values.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

It is common to divide the symbols of the alphabet into logical symbols, which always have the same meaning, and non-logical symbols, whose meaning varies by interpretation.

Actual, which in English is usually a synonym of " real ", has a different meaning in other European languages, in which it means " current " or " up-to-date ", and has the logical derivative as a verb, meaning " to make current " or " to update ".

Equivocation is the use in a syllogism ( a logical chain of reasoning ) of a term several times, but giving the term a different meaning each time.

Perhaps the view for which the logical positivists are best known is the verifiability criterion of meaning, or verificationism.

The verifiability criterion of meaning did not seem verifiable ; but neither was it simply a logical tautology, since it had implications for the practice of science and the empirical truth of other statements.

" Wittgenstein was insisting that a proposition and that which it describes must have the same ' logical form ', the same ' logical multiplicity ', Sraffa made a gesture, familiar to Neapolitans as meaning something like disgust or contempt, of brushing the underneath of his chin with an outward sweep of the finger-tips of one hand.

The opposite of truth is falsehood, which, correspondingly, can also take on a logical, factual, or ethical meaning.

A proposition such as " If p and q, then p ." is considered to be logical truth because it is true because of the meaning of the symbols and words in it and not because of any facts of any particular world.

In turn, a logically " ideal " language cannot supply meaning, it can only reflect the world, and so, sentences in a logical language cannot remain meaningful if they are not merely reflections of the facts.

In some programming languages, so-called typos, especially of symbols or logical / mathematical operators, actually represent logic errors, since the mistyped constructs are accepted by the compiler with a meaning other than that which the programmer intended.

But this doesn't mean that they don't need to be analyzed and criticized in all their manifestations ; showing the way these oppositions, both logical and axiological, are at work in all discourses so that they be able to produce meaning and values.

So, for happy years, Helva scooted around in her shell with her classmates, playing such games as Stall, Power-Seek, studying her lessons in trajectory, propulsion techniques, computation, logistics, mental hygiene, basic alien psychology, philology, space history, law, traffic, codes: all the et ceteras that eventually became compounded into a reasoning, logical, informed citizen.

The estrangement between the secular and the spiritual authority which Ganganelli strove to avert is now irreparable, and his pontificate remains an exceptional episode in the general history of the Papacy, and a proof how little the logical sequence of events can be modified by the virtues and abilities of an individual.

Instead of submitting their work to the challenges of a peer review, revisionists rewrite history to support an agenda, and often use logical fallacies to obtain the desired results.

As in any academic discipline, historians submit their papers for peer review, however, instead of submitting their work to the challenges of a peer review, revisionists rewrite history to support an agenda, often political, and use many techniques and logical fallacies to obtain the desired results.

In Rome, the vast, patriotic history of Rome by Livy ( 59 BC-17 AD ) approximated Herodotean inclusiveness ; Polybius ( c. 200-c. 118 BC ) aspired to combine the logical rigor of Thucydides with the scope of Herodotus.

* In Bash, the ampersand can separate words, control the command history, duplicate file descriptors, perform logical operations, control jobs, and participate in Regular expressions.

Instead of submitting their work to the challenges of peer review, illegitimate revisionists rewrite history to support an agenda, often political, using any number of techniques and logical fallacies to obtain their results.

In logic in Islamic philosophy, systematic refutations of Greek logic were written by the Illuminationist school, founded by Shahab al-Din Suhrawardi ( 1155-1191 ), who developed the idea of " decisive necessity ", an important innovation in the history of logical philosophical speculation.

Systematic refutations of Greek logic were written by the Illuminationist school, founded by Shahab al-Din Suhrawardi ( 1155 – 1191 ), who developed the idea of " decisive necessity ", an important innovation in the history of logical philosophical speculation.

Systematic refutations of Greek logic were written by the Illuminationist school, founded by Shahab al-Din Suhrawardi ( 1155 – 1191 ), who developed the idea of " decisive necessity ", an important innovation in the history of logical philosophical speculation.

He described in graphic terms the greatest of the more superficial changes he underwent ; how he had " carried into logical and ethical problems the maxims and postulates of physical knowledge ," and had moved within the narrow lines drawn by the philosophical instructions of the class-room " interpreting human phenomena by the analogy of external nature "; how he served in willing captivity " the ' empirical ' and ' necessarian ' mode of thought ," even though " shocked " by the dogmatism and acrid humours " of certain distinguished representatives " and how in a period of " second education " at Humboldt University in Berlin, " mainly under the admirable guidance of Professor Trendelenburg ," he experienced " a new intellectual birth " which " was essentially the gift of fresh conceptions, the unsealing of hidden openings of self-consciousness, with unmeasured corridors and sacred halls behind ; and, once gained, was more or less available throughout the history of philosophy, and lifted the darkness from the pages of Kant and even Hegel.

They reason that the history of the development of science suggests that determinism is the logical method in which reality works.

George Bentham became attracted to botanical studies by applying to them his uncle's logical methods, and not by any special interest in natural history.

In the history of western thought, essence has often served as a vehicle for doctrines that tend to individuate different forms of existence as well as different identity conditions for objects and properties ; in this eminently logical meaning, the concept has given a strong theoretical and common-sense basis to the whole family of logical theories based on the " possible worlds " analogy set up by Leibniz and developed in the intensional logic from Carnap to Kripke, which was later challenged by " extensionalist " philosophers such as Quine.

Thus, the logical division to discuss the history and present-day state of railways in these areas is by geographical division, rather than the political division of nation states.

Thus, the logical division to discuss the history of railways in these areas is by geographical division, rather than the political division of nation states.

Multi-context systems allow consistency to be relevant to a subset of facts in memory ( a context ) according to the history of logical inference.

This is achieved by tagging each fact or deduction with its logical history.

His teachings had a strong influence on subsequent esoteric Iranian thought and the idea of “ Decisive Necessity ” is believed to be one of the most important innovations of in the history of logical philosophical speculation, stressed by the majority of Muslim logicians and philosophers.

Many, at first considered to be, contingent events of history can become, in reality or in necessity, stages in the logical unfolding of the sovereign reason which gets embodied in an advanced State.

Consequently, we must interpret history in rational terms, and throw the succession of events into logical categories and this interpretation is, for Hegel, a mere inference from actual history.

The second part of the book is devoted to speaking to " the nations " who believe in the bible and the prophets, and persuading them, that this new course in history is a logical one, and that they too can hope for the salvation of the Jewish nation as part of the salvation of the entire world.