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Noncontradiction
In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "''p is the case''" and "''p is not the case''" are mutually exclusive. Formally this is expressed as the tautology ¬(p ∧ ¬p). The law is not to be confused with the law of excluded middle which states that at least one, "p is the case" or "p is not the case" holds. One reason to have this law is the principle of explosion, which states that anything follows from a contradiction. The law is employed in a '' reductio ad absurdum'' proof. To express the fact that the law is tenseless and to avoid equivocation, sometimes the law is amended to say "contradictory propositions cannot both be true 'at the same time and in the same sense'". It is one of the so called three laws of thought, along wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Law Of Identity
In logic, the law of identity states that each thing is identical with itself. It is the first of the historical three laws of thought, along with the law of noncontradiction, and the law of excluded middle. However, few systems of logic are built on just these laws. History Ancient philosophy The earliest recorded use of the law appears to occur in Plato's dialogue '' Theaetetus'' (185a), wherein Socrates attempts to establish that what we call "sounds" and "colours" are two different classes of thing: It is used explicitly only once in Aristotle, in a proof in the ''Prior Analytics'': Medieval philosophy Aristotle believed the law of non-contradiction to be the most fundamental law. Both Thomas Aquinas (''Met.'' IV, lect. 6) and Duns Scotus (''Quaest. sup. Met.'' IV, Q. 3) follow Aristotle in this respect. Antonius Andreas, the Spanish disciple of Scotus (d. 1320), argues that the first place should belong to the law "Every Being is a Being" (''Omne Ens est Ens'', Qq. in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Law Of Excluded Middle
In logic, the law of excluded middle (or the principle of excluded middle) states that for every proposition, either this proposition or its negation is true. It is one of the so-called three laws of thought, along with the law of noncontradiction, and the law of identity. However, no system of logic is built on just these laws, and none of these laws provides inference rules, such as modus ponens or De Morgan's laws. The law is also known as the law (or principle) of the excluded third, in Latin ''principium tertii exclusi''. Another Latin designation for this law is ''tertium non datur'': "no third ossibilityis given". It is a tautology. The principle should not be confused with the semantical principle of bivalence, which states that every proposition is either true or false. The principle of bivalence always implies the law of excluded middle, while the converse is not always true. A commonly cited counterexample uses statements unprovable now, but provable in the future ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Principle Of Explosion
In classical logic, intuitionistic logic and similar logical systems, the principle of explosion (, 'from falsehood, anything ollows; or ), or the principle of Pseudo-Scotus, is the law according to which any statement can be proven from a contradiction. That is, once a contradiction has been asserted, any proposition (including their negations) can be inferred from it; this is known as deductive explosion. The proof of this principle was first given by 12th-century French philosopher William of Soissons. Priest, Graham. 2011. "What's so bad about contradictions?" In ''The Law of Non-Contradicton'', edited by Priest, Beal, and Armour-Garb. Oxford: Clarendon Press. p. 25. Due to the principle of explosion, the existence of a contradiction ( inconsistency) in a formal axiomatic system is disastrous; since any statement can be proven, it trivializes the concepts of truth and falsity. Around the turn of the 20th century, the discovery of contradictions such as Russell's parado ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Law Of Contradiction
In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "''p is the case''" and "''p is not the case''" are mutually exclusive. Formally this is expressed as the tautology ¬(p ∧ ¬p). The law is not to be confused with the law of excluded middle which states that at least one, "p is the case" or "p is not the case" holds. One reason to have this law is the principle of explosion, which states that anything follows from a contradiction. The law is employed in a ''reductio ad absurdum'' proof. To express the fact that the law is tenseless and to avoid equivocation, sometimes the law is amended to say "contradictory propositions cannot both be true 'at the same time and in the same sense'". It is one of the so called three laws of thought, along with i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fargo (TV Series)
''Fargo'' is an American black comedy crime drama television series created and primarily written by Noah Hawley. The show is inspired by the 1996 film of the same name, which was written and directed by the Coen brothers, and takes place within the same fictional universe. The Coens were impressed by Hawley's script and agreed to be named as executive producers. The series premiered on April 15, 2014, on FX, and follows an anthology format, with each season set in a different era and location, with a different story and mostly new characters and cast, although there is minor overlap. Each season is heavily influenced by various Coen brothers films, with each containing numerous references to them. The first season, set primarily in Minnesota and North Dakota from January 2006 to February 2007 and starring Billy Bob Thornton, Allison Tolman, Colin Hanks, and Martin Freeman, received wide acclaim from critics. It won the Primetime Emmy Awards for Outstanding Miniseries, Outs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logos
''Logos'' (, ; grc, wikt:λόγος, λόγος, lógos, lit=word, discourse, or reason) is a term used in Western philosophy, psychology and rhetoric and refers to the appeal to reason that relies on logic or reason, inductive and deductive reasoning. Aristotle first systemised the usage of the word, making it one of the three principles of rhetoric. This specific use identifies the word closely to the structure and content of text itself. This specific usage has then been developed through the history of western philosophy and rhetoric. The word has also been used in different senses along with ''rhema''. Both Plato and Aristotle used the term ''logos'' along with ''rhema'' to refer to sentences and propositions. It is primarily in this sense the term is also found in religion. Background grc, wikt:λόγος, λόγος, lógos, lit=word, discourse, or reason is related to grc, wikt:λέγω, λέγω, légō, lit=I say, label=Ancient Greek which is cognate with la, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Protagoras
Protagoras (; el, Πρωταγόρας; )Guthrie, p. 262–263. was a pre-Socratic Greek philosopher and rhetorical theorist. He is numbered as one of the sophists by Plato. In his dialogue '' Protagoras'', Plato credits him with inventing the role of the professional sophist. Protagoras also is believed to have created a major controversy during ancient times through his statement that, "Man is the measure of all things," interpreted (possibly wrongly, since he disagreed) by Plato to mean that there is no objective truth; Protagoras seems to have meant that each person's own personal history, experiences and expectations, developed over their lifetime, determine their judgments, opinions, and statements regarding "truth" (which is the title of the book in which Protagoras made this statement). When a person makes a judgment about a certain thing—good or bad or beautiful or unjust—that person will differ from other people's judgments because their experience has been differen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theaetetus (dialogue)
The ''Theaetetus'' (; el, Θεαίτητος) is one of Plato's dialogues concerning epistemology, written BCE. In this dialogue set in a wrestling school, Socrates and Theaetetus discuss three definitions of knowledge: knowledge as nothing but ''perception'', knowledge as ''true judgment'', and, finally, knowledge as a '' true judgment with an account.'' Each of these definitions is shown to be unsatisfactory. Socrates declares Theaetetus will have benefited from discovering what he does not know, and that he may be better able to approach the topic in the future. The conversation ends with Socrates' announcement that he has to go to court to face a criminal indictment. The framing of the dialogue The dialogue is framed by a brief scene in which Euclid of Megara tells his friend Terpsion that he has a written record of a dialogue between Socrates and Theaetetus, which occurred when Theaetetus was quite a young man. This dialogue is then read aloud to the two men by a sl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
On Nature (Parmenides)
Parmenides of Elea (; grc-gre, Παρμενίδης ὁ Ἐλεάτης; ) was a pre-Socratic Greek philosopher from Elea in Magna Graecia. Parmenides was born in the Greek colony of Elea, from a wealthy and illustrious family. His dates are uncertain; according to doxographer Diogenes Laërtius, he flourished just before 500 BC, which would put his year of birth near 540 BC, but in the dialogue ''Parmenides'' Plato has him visiting Athens at the age of 65, when Socrates was a young man, c. 450 BC, which, if true, suggests a year of birth of c. 515 BC. He is thought to have been in his prime (or "floruit") around 475 BC. The single known work by Parmenides is a poem whose original title is unknown but which is often referred to as ''On Nature.'' Only fragments of it survive. In his poem, Parmenides prescribes two views of reality. The first, the Way of "Alethia" or truth, describes how all reality is one, change is impossible, and existence is timeless and uniform. The second ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parmenides
Parmenides of Elea (; grc-gre, Παρμενίδης ὁ Ἐλεάτης; ) was a pre-Socratic Greek philosopher from Elea in Magna Graecia. Parmenides was born in the Greek colony of Elea, from a wealthy and illustrious family. His dates are uncertain; according to doxographer Diogenes Laërtius, he flourished just before 500 BC, which would put his year of birth near 540 BC, but in the dialogue '' Parmenides'' Plato has him visiting Athens at the age of 65, when Socrates was a young man, c. 450 BC, which, if true, suggests a year of birth of c. 515 BC. He is thought to have been in his prime (or "floruit") around 475 BC. The single known work by Parmenides is a poem whose original title is unknown but which is often referred to as ''On Nature.'' Only fragments of it survive. In his poem, Parmenides prescribes two views of reality. The first, the Way of "Alethia" or truth, describes how all reality is one, change is impossible, and existence is timeless and uniform. The s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ontological
In metaphysics, ontology is the philosophical study of being, as well as related concepts such as existence, becoming, and reality. Ontology addresses questions like how entities are grouped into categories and which of these entities exist on the most fundamental level. Ontologists often try to determine what the categories or highest kinds are and how they form a system of categories that encompasses classification of all entities. Commonly proposed categories include substances, properties, relations, states of affairs and events. These categories are characterized by fundamental ontological concepts, including particularity and universality, abstractness and concreteness, or possibility and necessity. Of special interest is the concept of ontological dependence, which determines whether the entities of a category exist on the most fundamental level. Disagreements within ontology are often about whether entities belonging to a certain category exist and, if so, how they ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
