Posterior Analytics
By Aristotle
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Aristotle
Aristotle (384–322 BCE) was a Greek philosopher whose works spanned multiple disciplines including math, science and the arts. He spent his formative years in Athens, where he studied under Plato at his famed academy. Once an established scholar, he wrote more than 200 works detailing his views on physics, biology, logic, ethics and more. Due to his undeniable influence, particularly on Western thought, Aristotle, along with Plato and Socrates, is considered one of the great Greek philosophers.
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Posterior Analytics - Aristotle
Aristotle
Posterior Analytics
Published by Good Press, 2022
goodpress@okpublishing.info
EAN 4064066467142
Table of Contents
Book I.
Book II.
Chapter I: Whether a Demonstrative Science exists
Chapter II: What Knowing is, what Demonstration is, and of what it consists
Chapter III: A refutation of the error into which some have fallen concerning Science and Demonstration
Chapter IV: The meaning of ‘Distributive,’ ‘Essential,’ ‘Universal’
Chapter V: From what causes mistakes arise with regard to the discovery of the Universal. How they may be avoided
Chapter VI: Demonstration is founded on Necessary and Essential Principles
Chapter VII: The Premises and the Conclusion of a Demonstration must belong to the same genus
Chapter VIII: Demonstration is concerned only with what is eternal
Chapter IX: Demonstration is founded not on general, but on special and indemonstrable principles; nor is it easy to know whether one really possesses knowledge drawn from these principles
Chapter X: The Definition and Division of Principles
Chapter XI: On certain Principles which are common to all Sciences
Chapter XII: On Questions, and, in passing, on the way in which Sciences are extended
Chapter XIII: The difference between the Demonstration and Science of a thing’s Nature and those of its Cause
Chapter XIV: The figure proper to Demonstrate Syllogism
Chapter XV: On immediate negative propositions
Chapter XVI: On ignorance resulting from a defective arrangement of terms in mediate propositions
Chapter XVII: On ignorance resulting from a defective arrangement of terms in immediate propositions
Chapter XVIII: On ignorance as resulting from defective sense perception
Chapter XIX: Whether the Principles of Demonstration are finite or infinite
Chapter XX: Middle terms are not infinite
Chapter XXI: In Negations some final and ultimate point is reached where the series must cease
Chapter XXII: In Affirmations some final and ultimate point is reached where the series must cease
Chapter XXIII: Certain Corollaries
Chapter XXIV: Whether Universal or Particular Demonstration is superior
Chapter XXV: That Affirmative is superior to Negative Demonstration
Chapter XXVI: Direct Demonstration is superior to Reduction per impossible
Chapter XXVII: What science is more certain and prior, and what less certain and inferior
Chapter XXVIII: What constitutes one or many Sciences
Chapter XXIX: Concerning many Demonstrations of the same thing
Chapter XXX: On fortuitous occurrences
Chapter XXXI: Sense perception cannot give Demonstrative Science
Chapter XXXII: On the difference of Principles corresponding to the difference of Syllogisms
Chapter XXXIII: The distinction between Science and Opinion
Chapter XXXIV: On Sagacity
Chapter I: On the number and arrangements of Questions
Chapter II: Every question is concerned with the discovery of a Middle Term
Chapter III: The distinction between Definition and Demonstration
Chapter IV: The Essence of a thing cannot be attained by Syllogism
Chapter V: Knowledge of the Essence cannot be attained by Division
Chapter VI: The Essence cannot be proved by the Definition of the thing itself or by that of its opposite
Chapter VII: Whether the Essence can in any way be proved
Chapter VIII: How the Essence can be proved
Chapter IX: What Essences can and what cannot be proved
Chapter X: The nature and forms of Definition
Chapter XI: The kinds of Causes used in Demonstration
Chapter XII: On the Causes of events which exist, are in process, have happened, or will happen
Chapter XIII: On the search for a Definition
Chapter XIV: On the discovery of Questions for Demonstration
Chapter XV: How far the same Middle Term is employed for demonstrating different Questions
Chapter XVI: On inferring the Cause from the Effect
Chapter XVII: Whether there can be several causes of the same thing
Chapter XVIII: Which is the prior cause, that which is nearer the particular, or the more universal?
Chapter XIX: On the attainment of Primary Principles
Appendix
Book I.
Table of Contents
Chap. I.: Whether a Demonstrative Science exists
Chap. II.: What Knowing is, what Demonstration is, and of what it consists
Chap. III.: A refutation of the error into which some have fallen concerning Science and Demonstration
Chap. IV.: The meaning of ‘Distributive,’ ‘Essential,’ ‘Universal’
Chap. V.: From what causes mistakes arise with regard to the discovery of the Universal. How they may be avoided
Chap. VI.: Demonstration is founded on Necessary and Essential Principles
Chap. VII.: The Premises and the Conclusion of a Demonstration must belong to the same genus
Chap. VIII.: Demonstration is concerned only with what is eternal
Chap. IX.: Demonstration is founded not on general, but on special and indemonstrable principles; nor is it easy to know whether one really possesses knowledge drawn from these principles
Chap. X.: The Definition and Division of Principles
Chap. XI.: On certain Principles which are common to all Sciences
Chap. XII.: On Questions, and, in passing, on the way in which Sciences are extended
Chap. XIII.: The difference between the Demonstration and Science of a thing’s Nature and those of its Cause
Chap. XIV.: The figure proper to Demonstrate Syllogism
Chap. XV.: On immediate negative propositions
Chap. XVI.: On ignorance resulting from a defective arrangement of terms in mediate propositions
Chap. XVII.: On ignorance resulting from a defective arrangement of terms in immediate propositions
Chap. XVIII.: On ignorance as resulting from defective sense perception
Chap. XIX.: Whether the Principles of Demonstration are finite or infinite
Chap. XX.: Middle terms are not infinite
Chap. XXI.: In Negations some final and ultimate point is reached where the series must cease
Chap. XXII.: In Affirmations some final and ultimate point is reached where the series must cease
Chap. XXIII.: Certain Corollaries
Chap. XXIV.: Whether Universal or Particular Demonstration is superior
Chap. XXV.: That Affirmative is superior to Negative Demonstration
Chap. XXVI.: Direct Demonstration is superior to Reduction per impossible
Chap. XXVII.: What science is more certain and prior, and what less certain and inferior
Chap. XXVIII.: What constitutes one or many Sciences
Chap. XXIX.: Concerning many Demonstrations of the same thing
Chap. XXX.: On fortuitous occurrences
Chap. XXXI.: Sense perception cannot give Demonstrative Science
Chap. XXXII.: On the difference of Principles corresponding to the difference of Syllogisms
Chap. XXXIII.: The distinction between Science and Opinion
Chap. XXXIV.: On Sagacity
Book II.
Table of Contents
Chap. I.: On the number and arrangements of Questions
Chap. II.: Every question is concerned with the discovery of a Middle Term
Chap. III.: The distinction between Definition and Demonstration
Chap. IV.: The Essence of a thing cannot be attained by Syllogism
Chap. V.: Knowledge of the Essence cannot be attained by Division
Chap. VI.: The Essence cannot be proved by the Definition of the thing itself or by that of its opposite
Chap. VII.: Whether the Essence can in any way be proved
Chap. VIII.: How the Essence can be proved
Chap. IX.: What Essences can and what cannot be proved
Chap. X.: The nature and forms of Definition
Chap. XI.: The kinds of Causes used in Demonstration
Chap. XII.: On the Causes of events which exist, are in process, have happened, or will happen
Chap. XIII.: On the search for a Definition
Chap. XIV.: On the discovery of Questions for Demonstration
Chap. XV.: How far the same Middle Term is employed for demonstrating different Questions
Chap. XVI.: On inferring the Cause from the Effect
Chap. XVII.: Whether there can be several causes of the same thing
Chap. XVIII.: Which is the prior cause, that which is nearer the particular, or the more universal?
Chap. XIX.: On the attainment of Primary Principles
Appendix.
Chapter I: Whether a Demonstrative Science exists
Table of Contents
Previous knowledge is required for all scientific studies or methods of instruction. Examples from Mathematics, Dialectic and Rhetoric. Previous knowledge as variously expressed in theses concerning either the existence of a thing or the meaning of the word denoting it. Learning consists in the conversion of universal into particular knowledge.
All communications of knowledge from teacher to pupil by way of reasoning pre-suppose some pre-existing knowledge. The truth of this statement may be seen from a complete enumeration of instances:—it is thus that the mathematical sciences are attained and every art also. The same is the case with dialectical arguments whether proceeding by means of the syllogism or of induction, for the former kind makes such assumptions as people who understand the meaning admit, the latter uses the recognized clearness of the particular as an indication of the universal, so that both convey their information by means of things already known. So too orators produce conviction in a like manner, using either Example, which is equivalent to induction, or Enthymeme, which corresponds to syllogism.
Pre-existing knowledge of two kinds is required: one must either assume beforehand that something exists, or one must understand what the word means, while sometimes both sorts of knowledge are required. As an example of the first case we may take the necessity for previously knowing the proposition ‘everything must be either affirmed or denied.’ Of the second case an instance would be the knowledge of the meaning conveyed by the word ‘triangle’; of the combination of both kinds, the knowledge both of what ‘Unit’ means, and of the fact that ‘Unit’ exists. The distinction is necessary, since the grounds of certainty differ in the two cases.
Some facts become known as a result of previously acquired knowledge, while others are learned at the moment of perceiving the object. This latter happens in the case of all things comprised under a universal, with which one is already acquainted. It is known to the pupil, before perceiving any particular triangle, that the interior angles of every triangle are equal to two right angles; but it is only at the moment of sense-perception that he learns that this figure inscribed in the semi-circle is a triangle.
In some cases knowledge is only acquired in this latter way, and the particular is not learned by means of a middle term: that is to say, in the cases where we touch the concrete particular, that is in the case of things which are not predicable of any subject. We ought to admit that, even before arriving at particulars, and so obtaining a syllogism, we do, from one point of view perhaps, possess knowledge, although from another we do not. For how, it may be asked, when he did not know whether the thing existed at all or not, could he have known absolutely that it contains two right angles? The answer is that he knows it from a particular point of view, in that he knows the universal, but he does not know it absolutely. On any other view we shall have the dilemma of the Meno—a man will either learn nothing at all or only what he knows before. This difficulty must not be solved as some try to do. The question is asked, ‘Do you or do you not know every dyad to be even?’ On receiving an affirmative reply they bring forward some dyad of the existence of which the other was ignorant, and so could not have known it to be even. The solution suggested is to say that one does not know every dyad to be even, but only that which one knows to be a dyad. On the other hand one knows that of which one possesses or has received a demonstration, and no demonstration concerns merely (e.g.) every triangle, or number, one may happen to know, but every possible triangle or number. No demonstrative proposition is taken as referring to ‘any number you may know of,’ or ‘any straight line you may know of,’ but to the entire subject. Nothing, however, I should suppose, precludes our knowing already what we learn from one point of view and not knowing it from another. The absurdity would