Online research in philosophy

"However that may be, Aristotelian syllogistic concerned itself exclusively with monadic predicates. Hence it could not begin to investigate multiple quantification. And that is why it never got very far. None the less, the underlying grammar of Aristotle's logic did not in itself..

Solving Syllogism problems are usually time consuming by Traditional methods and considered difficult by most of the students. New RAVAL NOTATION solves Syllogism problems very quickly and accurately. This method solves any categorical syllogism problem with same ease and is as simple as ABC… In RAVAL NOTATION, each premise and conclusion is written in abbreviated form, and then conclusion is reached simply by connecting abbreviated premises.NOTATION: Statements (both premises and conclusions) are represented as follows: Statement Notation a) All S are P SS-P b) Some S are P S-P c) Some S are not P (S / P) d) No S is P SS / PP (- implies are and / implies are not) All is represented by double letters; Some is represented by single letter. Some S are not P is represented as (S / P) in statement notation. This statement is written uniquely in brackets because one cannot include this statement in deriving any conclusion. (Some S are not P does not implies some P are not S). No S is P implies No P is S so its notation contains double letters on both sides.

RULES: (1) Conclusions are reached by connecting Notations. Two notations can be linked only through common linking terms. When the common linking term multiplies (becomes double from single), divides (becomes single from double) or remains double then conclusion is arrived between terminal terms. (Aristotle’s rule: the middle term must be distributed at least once)

(2)If both statements linked are having – signs, resulting conclusion carries – sign (Aristotle’s rule: two affirmatives imply an affirmative)

(3) Whenever statements having – and / signs are linked, resulting conclusion carries / sign. (Aristotle’s rule: if one premise is negative, then the conclusion must be negative)

(4)Statement having / sign cannot be linked with another statement having / sign to derive any conclusion. (Aristotle’s rule: Two negative premises imply no valid conclusion) (5)Whenever statement carrying / sign is involved as first statement in deducting conclusion then terminating point in statement carrying – sign should be in double letters to have any valid conclusion. (When the terminating term is in double letters, it limits the terminating term to the maximum up to common term. Hence valid conclusion follows only in this case when / sign is involved) Syllogism conclusion by Raval’s Notation is in accordance with Aristotle’s rules for the same. It is visually very transparent and conclusions can be deduced at a glance, moreover it solves syllogism problems with any number of statements and it is quickest of all available methods.Venn and Euler introduced their respective methods for categorical syllogism considering Aristotle method very cumbersome. By new Raval method for solving categorical syllogism, solving categorical syllogism is as simple as pronouncing ABC and it is just conti

It is well-known that the Arab philosophers of the Aristotelian tradition, like some of their Alexandrian predecessors, attached rhetoric and poetics to logic, and supported this inclusion by the idea that the principal poetic procedure - that is, essentially, metaphor - is a kind of syllogism: the poetic syllogism. However, until now, no texts prior to those of Avicenna had been identified which render the structure of this syllogism explicit. In the present contribution, we present and translate a passage from al-Farabi which shows that for him, the poetic syllogism is an incorrect syllogism of the second figure - a different interpretation from that which will be given by Avicenna.

It has often been claimed that (i) Aristotle's expression `protasis' means `premiss' in syllogistic contexts and (ii) cannot refer to the conclusion of a syllogism in the Prior Analytics . In this essay we produce and defend a counter-example to these two claims. We argue that (i) the basic meaning of the expression is `proposition' and (ii) while it is often used to refer to the premisses of a syllogism, in Prior Analytics 1.29, 45b4-8 it is used to refer to the conclusion of a syllogism. In our view, the best explanation of Aristotle's use of the expression `protasis' is that it means proposition throughout but is frequently used without change of meaning (in certain specific contexts) to refer to the premisses from which a conclusion follows. In Prior Analytics 1.29, 45b4-8 he uses `protasis' to refer to the conclusion when he needs a single expression to refer to both the conclusion and one of the premisses of the syllogism that constitutes the core of a syllogism through the impossible. If we are correct, we have shown that the view that the expression `the final protasis' in EN 7.3, 1147b9ff must mean `the final premiss' and so cannot refer to the conclusion of the relevant syllogism is mistaken.

Aristotle (384-322 BC) claimed a sharp distinction between understanding the fact and understanding the reason why (dioti; aitia). Though both types of understanding proceed via deductive syllogism, only the latter is characteristic of science because only the latter is tied to the knowledge of causes. In his Posterior Analytics, Aristotle contrasted the following two instances of deductive syllogism.

This article tackles a number of puzzles related to Aristotle’s practical syllogism, notably the relationship between deliberation and the practical syllogism, the distinction between deliberative and reconstructive practical syllogisms, and the nature of the conclusion of the practical syllogism.