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| ## Aristotle | ## Aristotle | ||
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| + | ### Organon | ||
| + | |||
| + | #### De Interpretatione | ||
| + | |||
| + | - **written letters** = symbols of voice sounds | ||
| + | - **voice sounds** = symbols of soul affections | ||
| + | - unconnected (not conjointed) nouns and verbs: regardless of true/false | ||
| + | - (propositions): | ||
| + | - **noun** = sounds of the voice, meaningful by convention, independent of time, no part of which is meaningful separately (when the sound of the voice becomes a symbol, by convention). | ||
| + | - **verb** = the noun that also expresses a temporal determination and is what is said about something else, what is said about or exists in a substrate. | ||
| + | - **speech** = meaningful sound of the voice, in which one of the parts, if separated, is meaningful; all speech is meaningful by convention | ||
| + | - **declarative speech** = in which there is a true or false statement, derived from a verb | ||
| + | - first declarative speech = affirmation | ||
| + | - second = negation | ||
| + | - All other speech is unified (are unitary?) by connection. | ||
| + | - Definitional speech is not yet declarative without is/was/will be | ||
| + | - Unitary declarative speech of two types: | ||
| + | - Simple declarative, | ||
| + | - Speech composed of simple declarations | ||
| + | - **Affirmation** = judgement that attributes something to something | ||
| + | - **Negation** = judgement that separates something from something | ||
| + | - Every affirmation is opposed by a negation | ||
| + | |||
| + | #### Analytica priora | ||
| + | |||
| + | - Demonstration => demonstrative science | ||
| + | - **Premise** = statement that affirms or negates something with respect to something | ||
| + | - A premise can be universal, particular or indefinite | ||
| + | - **Universal** discourse = expresses belonging to every object or to no object | ||
| + | - **Particular** discourse = expresses belonging to some objects or not belonging to every object | ||
| + | - **Indefinite** discourse = expresses belonging or not belonging, regardless of the universal or particular form | ||
| + | - Demonstrative premise different from dialectical premise | ||
| + | - **Demonstrative premise** = assumption of one of the two parts of the contradiction | ||
| + | - **Dialectical premise** = question that presents the contradiction as an alternative | ||
| + | - Who demonstrates vs who questions | ||
| + | - **Syllogistic premise** = affirmation or negation of something with respect to something else | ||
| + | - A premise is demonstrative if it is true and is assumed through the hypotheses established initially | ||
| + | - A premise is dialectical if it is assumed to be acceptable and is based on opinion (Topics) | ||
| + | - Premise: syllogistic, | ||
| + | - **Term** = element to which the premise is reduced, both the predicate and that which is predicated | ||
| + | - **Syllogism** = discourse in which, given certain objects, something different from the established objects necessarily results from the fact that these objects exist. | ||
| + | - **Perfect syllogism** = one that, in addition to what has been assumed, requires nothing else in order to reveal the necessity of the deduction | ||
| + | - **Imperfect syllogism** = one that requires the addition of one or more objects | ||
| + | - To say that a term is contained in the totality of another term is equivalent to saying that the second term is predicated of every object indicated by the first | ||
| + | |||
| + | #### Analytica posteriora | ||
| + | |||
| + | #### Topica | ||
| + | |||
| + | - Method for constructing syllogisms (based on opinion) for each formulation of a research question. | ||
| + | - **Syllogism** = a discourse in which, given certain elements, something different from them necessarily follows. | ||
| + | - Syllogism | ||
| + | - **Demonstrative** syllogism (based on primary and universal elements, worthy of belief) | ||
| + | - **Dialectical** syllogism (based on elements of opinion, acceptable to most people or to scholars) | ||
| + | - **Eristic** syllogism (based on elements that appear to be based on opinion), conclusive and non-conclusive | ||
| + | - **Paralogism** (based on elements specific to science) | ||
| + | - Method for debating a topic | ||
| + | - First principles => necessary to penetrate them through elements based on opinion => dialectical activity | ||
| + | - Elements from which discourses are derived and on which syllogisms are based | ||
| + | - Discourses => propositions | ||
| + | - Syllogisms => formulations of a research | ||
| + | |||
| + | - **Proposition** reveals/is about | ||
| + | - **definition** = discourse that expresses objective individual essence (of a name or discourse), convertible predication | ||
| + | - **proper** = belongs to that single object and is in a relationship of convertible predication (homo risibilis) | ||
| + | - **genus** = predicate immanent to the essence of several objects by species, answers the question ‘what is it?’ (homo est animal), defining expression | ||
| + | - **accident** = may or may not belong to one and the same object (white man), not a defining expression | ||
| + | |||
| + | - **Identity** | ||
| + | - Numerical identity (Aristotle = the Philosopher) | ||
| + | - Specific identity (Socrates = Plato) | ||
| + | - Generic identity (man = horse) | ||
| + | |||
| + | - Accident, gender, property and definition are in one of the 10 categories: substance, quantity, quality, relation, place, time, situation, having, action, passion. | ||
| + | |||
| + | #### De Sophisticis elenchis | ||
| + | |||
| + | - Refutation (sophistical) | ||
| + | - Paralogisms that only appear to be sophistical refutations, | ||
| + | - Syllogism | ||
| + | - Syllogisms and sophistical refutations (?) may either exist or appear to exist. | ||
| + | - Syllogism = consisting of elements arranged in such a way as to affirm premises | ||
| + | - Sophistic refutation = syllogism that deduces a contradictory proposition from a certain conclusion | ||
| + | - Argument concerning the naming of objects: names and symbols are limited, while the objects represented are numerically indefinite. | ||
| + | - Faulty reasoning | ||
| + | - The dual task of those who argue: | ||
| + | 1. avoid lying => give justification | ||
| + | 2. expose falsehoods => give justification | ||
| + | - Sophistical arguments species | ||
| + | |||
| + | - **Argumentation** | ||
| + | - didactic (deduces from principles and doctrines) | ||
| + | - demonstrative (Analytical Books) | ||
| + | - dialectical (deduces from premises based on opinion, conclusion contradictory to thesis) | ||
| + | - essayistic (deduces from acceptable and scientific propositions) | ||
| + | - eristic (deduces from propositions that **appear** to be based on opinion but are not) | ||
| + | - agonistic | ||
| + | |||
| + | - 5 sophistical goals (in order of priority) | ||
| + | - **Refutation** | ||
| + | - **Prove opponent' | ||
| + | - **Reduce to paradox** | ||
| + | - **Force opponent into solecism** | ||
| + | - **Opponent says nothing substantial, | ||
| + | |||
| + | - Two types of refutations: | ||
| + | |||
| + | - Sophistic arguments (apparent refutation) on the way of expressing oneself **caused** [?] by 6 elements | ||
| + | 1. **Homonymy** : double or more than one meaning name or expression (in propositions of an argument [correct?]) | ||
| + | 2. **Ambiguity** : more than one meaning [difference with homonymy?] | ||
| + | 3. **Joining of separate terms** : multiple different meanings when joined or separated | ||
| + | 4. **Separation of joined terms**: multiple different meanings when joined or separated | ||
| + | 5. **Accentuation** : different (or no) meanings with different accents (for writings and poems, less so for oral dialectical discourse) | ||
| + | 6. **Form of verbal expression** : the same way of expressing oneself explains what is not the same, according to another point of view | ||
| + | |||
| + | 3 aspects for hominymy and ambiguity: | ||
| + | 1) name expresses several things | ||
| + | 2) when we are alone in expressing ourselves in this way | ||
| + | 3) overall expression indicates several things (conjunctions become ambiguous) | ||
| + | |||
| + | - ambiguity: 1, 2 and 6 | ||
| + | - different expression/ | ||
| + | |||
| + | Paralogisms independent of the mode of expression | ||
| + | 1. **determination of gender** | ||
| + | 2. **double perspective on determination**, | ||
| + | 3. **ignorance definition refutation** [superclass] | ||
| + | 4. **based on consequence** (it is believed that the relationship between reason and consequence is convertible) | ||
| + | 5. **assuming the proposition to be proven** | ||
| + | 6. **establishing as cause that which is not** (application in syllogism for assurance => demolishing a premise) | ||
| + | 7. **reducing several questions to a single one** | ||
| + | |||
| + | [3] | ||
| + | - refutation = proof of a proposition that contradicts a certain conclusion | ||
| + | - false refutation or apparent refutation => reduced to paralogisms in the manner of expression [? 167a35] | ||
| + | - syllogistic refutation: conclusion follows from premise in a necessary and not just apparent way | ||
| ## Peirce | ## Peirce | ||
| + | ### The Essential Peirce, Selected Philosophical Writings, Volume 2 (1893-1913) | ||
| + | |||
| + | #### Introduction | ||
| + | |||
| + | - xxiii: He drew a distinction between two kinds of deductive reasoning, corollarial, | ||
| + | - xxiv: " | ||
| + | - xxv: his acceptance of the reality of **actuality (secondness)** and later of **possibility (firstness)**; | ||
| + | - He argued that pragmatism is a logical, or semiotic, thesis concerning the meaning of a particular kind of symbol, the proposition, | ||
| + | |||
| + | #### 2 What Is a Sign? | ||
| + | |||
| + | - three principal kinds of signs: icons, indices, and symbols | ||
| + | - **reasoning must involve all three kinds of signs**, and he claims that **the art of reasoning is the art of marshalling signs**, thus emphasizing the **relationship between logic and semiotics**. | ||
| + | - §1: **all reasoning is an interpreation of signs of some kind** | ||
| + | - three different states of mind | ||
| + | - a state of mind in which something is present, without compulsion, and without reason; it is called **_Feeling_** | ||
| + | - sense of acting and of being acted upon, which is our sense of the reality of things, | ||
| + | - this third state of mind, or **Thought**, | ||
| + | - §3: There are three kinds of signs. | ||
| + | - Firstly, there are _likenesses_, | ||
| + | - Secondly, there are _indications_, | ||
| + | - Thirdly, there are _symbols_, or **general signs**, which have become associated with their meanings by usage. Such are most words, and phrases, and speeches, and books, and libraries. | ||
| + | - §9: In all reasoning, we have to use a mixture of _likenesses_, | ||
| + | - The reasoner makes some sort of mental diagram by which he sees that his alternative conclusion must be true, if the premise is so; and this diagram is an _icon_ or likeness. The rest is symbols; and the whole may be considered as a modified symbol. It is not a dead thing, but carries the mind from one point to another. The art of reasoning is the art of marshalling such signs, and of finding out the truth. | ||
| + | |||
| + | #### 3 Of Reasoning in General | ||
| ## Dizionario di filosofia di Nicola Abbagnano | ## Dizionario di filosofia di Nicola Abbagnano | ||