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Principle of bivalence (1418 bytes)
1: [[fr:Principe de bivalence]] 2: In [[logic]], the '''principle of bivalence''' states that ''for any [[proposition]] P, eithe... 4: ... See [[bivalence and related laws]] for a summary of the differences. 6: ...n intuitionistic logic, sometimes the truth-value of a proposition P cannot be determined (i.e. P cann... 8: The principle of bivalence is intuitionistically provable. Bivalence and related laws (3747 bytes) 1: ...w of excluded middle|excluded middle]], and [[law of non-contradiction|non-contradiction]] are related... 7: *'''Law of bivalence''': P is either true or false. 8: *'''Law of the excluded middle''': (P or not-P) is true. 9: *'''Law of non-contradiction''': (P and not-P) is false. 11: ==Bivalence is deepest== H-principle (3763 bytes) 1: The '''homotopy principle (''h''-principle)''' is a very general way to solve [[partial diff... 2: The ''h''-principle is good for underdetermined PDE or PDR such as im... 4: ...llips|Phillips]] and was based on earlier results of [[Morris W. Hirsch|Hirsch]], [[Nicolaas Kuiper|Ku... 8: ...> which satisfies a partial differential equation of degree <math>k</math>, in co-ordinates <math>(u_1... 12: ...h>J^k_f</math> stands for all partial derivatives of <math>f</math> up to order <math>k</math>. Let us... Principle (734 bytes) 1: ...et of principles that the individual obeys. These principles form the basis for their ethics. 3: Principles may also be introduced as [[pedagogy]]: laying d... 5: ...is is a convenient way of reducing the complexity of an argumentation. 7: See also: [[principled approach]]. 9: [[wiktionary:principle]] Variational principle (2244 bytes) 3: A '''variational principle''' is a principle in [[physics]] which 4: is expressed in terms of the [[calculus of variations]]. 8: * [[Fermat's principle]] in [[geometrical optics]] 9: * The [[principle of least action]] in [[mechanics]], [[electromagneti... 10: ..., according to [[Stephen Wolfram]], (''A New Kind of Science'', p. 1052.), as a constraint on the ''Ei... Hasse principle (2101 bytes) 1: ...l-global principle''', also known as the '''Hasse principle''', is the assertion that an equation can be solv... 3: ...n of being a relative norm for a cyclic extension of number fields. 5: ...lding for cubic forms can be tied into the theory of the [[Brauer group]]; it is only recently that it... 12: * [http://planetmath.org/encyclopedia/HassePrinciple.html PlanetMath article] Principle of rationality (574 bytes) 1: ...ell (in 1982) proposed the following '''principle of rationality''': 3: ...nowledge that one of its actions will lead to one of its goals, then the agent will select that action... 5: This principle is employed by agents at the [[knowledge level]] ... Transfer principle (1928 bytes) 2: ...s, mappings etc. For the precise context of this principle as discussed here, see the article [[non-standard... 4: ...tructures. However, the formulation at this level of generality is false for the superstructure appro... 8: The principle of mathematical induction. This the formula (stated... 10: For any subset ''A'' of '''N''' if 11: : 1 is an element of ''A'' Principle of uniformity (386 bytes) 1: ...corollary is that the principles of [[causation]] of events throughout time also remain constant. Con... 3: ...ligent design]], [[origin of life]], [[philosophy of science]] Homestead principle (2163 bytes) 1: ...in law is the concept that one can gain ownership of something which currently has no owner by using t... 5: ... ownership of their company name by the Homestead principle. Then, they get successful, and someone else cre... 7: The homestead principle has many applications. 10: ...uity of his legal acquisition work, private study of, and interest in the property. This claim is as ... 12: ...law]], [[salvage]] rights are extended to finders of [[shipwreck]]s or other abandoned property. Harm principle (1074 bytes) 1: The '''harm principle''' is attributed to [[John Stuart Mill]]'s most f... 3: Mill defines the harm principle in chapter 1 as follows: 5: ...ich merely concerns himself, his independence is, of right, absolute. Over himself, over his own body ... Mediocrity principle (2713 bytes) 1: ...tion or a philosophical statement about the place of humanity. 3: ...ng around a relatively common galaxy which is one of countless others in a giant, perhaps infinite, un... 5: ...opernicus suggested that Earth was not the center of the entire Universe, but rather was a planet, jus... 7: ...d humans) as the dregs (rather than the pinnacle) of creation. In this view, Copernicus was actually p... Principle of indifference (10238 bytes) 1: The '''principle of indifference''' is a rule for assigning [[epistem... 3: The principle of indifference states that if the ''n'' possibiliti... 8: ... uncertain propositions, conditional upon a state of information. 12: ...ook examples for the application of the principle of indifference are [[coin|coins]], [[dice]], and [[... 14: ...tatistical physics]], that any two configurations of atoms with the same total energy are equally prob... Principle of locality (4371 bytes) 1: ...nunciated this principle in respect to his theory of [[kinematics]] in a letter in [[1692]] 6: ...uasienclosed systems, and thereby the postulation of laws which can be checked empirically in the acce... 9: ...al realism''' is the combination of the principle of locality with the assumption that all objects mus... 11: ...ons of quantum mechanics]] reject different parts of local realism. 13: ...sed to calculate the probabilities of the outcome of the experiments, which is, in agreement with [[po... Principle of explosion (2021 bytes) 1: ... contradiction into one's system makes the number of overall theorems "explode". 3: ... are trivial. Thus explosion justifies the [[law of noncontradiction]]. 5: ...g to the English "or". Consider the following proof: 30: ...the argument in order to accept certain instances of ''P'' ∧ ¬''P''. Material principle (420 bytes) 1: ... can be explained in relationship to its material principle. Argument principle (3869 bytes) 1: ... (black), the zeros of ''f'' (blue) and the poles of ''f'' (red).]] 2: ...'''argument principle''' (or '''Cauchy's argument principle''') states that if ''f''(''z'') is a 5: ...denote respectively the number of zeros and poles of ''f''(''z'') inside the contour ''C'', with each ... 7: == Proof == 8: Let ''z''<sub>N</sub> be a zero of ''f''. We can write ''f''(''z'') = (''z'' − Sandford Principle (2040 bytes) 1: ...the [[United Kingdom]]. It is called the Sandford Principle after [[Lord Sandford]] who chaired the National ... 2: Review Committee which reviewed [[National parks of England and Wales]] in between [[1971]] and [[197... 4: ...ppens, priority must be given to the conservation of natural beauty." (Lord Sandford, 1974)'' 6: The two purposes of [[National parks of England and Wales|National Parks]] are, in short, 7: #conservation of the natural environment and Scheimpflug principle (592 bytes) 1: ...as good as it will get from a particular location of the camera. Transcendent principle (777 bytes) 1: ...''transcendent principle'''...dictates the choice of a theoretical framework, and according to a [[plo... 3: ...ny transendent principles are evident in analysis of the [[Tristan chord]] or [[motif (music)|motif]]. 9: ...(1990). ''Music and Discourse: Toward a Semiology of Music'' (''Musicologie générale et sémiologue'', ...
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