A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the Aristotelic and Hamiltonian Analyses of Logical Forms, and Some Chapters of Applied LogicSever and Francis, 1864 - 450 էջ |
From inside the book
Արդյունքներ 38–ի 1-ից 5-ը:
Էջ 34
... false . Logic , as it proceeds from axiomatic principles , and derives none of its materials from experience , but considers only those laws which under- lie all experience and first render it possible , is a purely de- monstrative ...
... false . Logic , as it proceeds from axiomatic principles , and derives none of its materials from experience , but considers only those laws which under- lie all experience and first render it possible , is a purely de- monstrative ...
Էջ 42
... false ; I may reason rightly from wrong premises to a false conclusion . On the other hand , as an error in the Form necessarily vitiates the whole process of Thought , it may certainly be said that Logic furnishes us with a negative ...
... false ; I may reason rightly from wrong premises to a false conclusion . On the other hand , as an error in the Form necessarily vitiates the whole process of Thought , it may certainly be said that Logic furnishes us with a negative ...
Էջ 106
... false , accord- ing as it does , or does not , agree with the mental Judgment . The mere succession or coexistence of two Thoughts in the mind does not constitute a Judgment . I may think - first of man , and then of animal ; 106 THE ...
... false , accord- ing as it does , or does not , agree with the mental Judgment . The mere succession or coexistence of two Thoughts in the mind does not constitute a Judgment . I may think - first of man , and then of animal ; 106 THE ...
Էջ 130
... false . Hence , we do not deny a Hypothetical Judgment by denying either or both of its parts , but only by denying the Consequence of one from the other . This is usually done , in Latin , by placing the negation at the beginning . Non ...
... false . Hence , we do not deny a Hypothetical Judgment by denying either or both of its parts , but only by denying the Consequence of one from the other . This is usually done , in Latin , by placing the negation at the beginning . Non ...
Էջ 134
... false ; but with this fault , as logicians , we have nothing to do . Logic does not guarantee the truth of the premises , but only the validi- ty of the inference from the premises to the conclusion . And that this inference is valid in ...
... false ; but with this fault , as logicians , we have nothing to do . Logic does not guarantee the truth of the premises , but only the validi- ty of the inference from the premises to the conclusion . And that this inference is valid in ...
Այլ խմբագրություններ - View all
A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the ... Francis Bowen Ամբողջությամբ դիտվող - 1864 |
A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the ... Francis Bowen Ամբողջությամբ դիտվող - 1895 |
Common terms and phrases
absolutely actually affirm the Consequent Affirmative already animal antecedent applied Aristotelic doctrine Aristotle assertion attributes Axiom called Cause class of things classification conceived Concept Conclusion connoted Consequent considered Contradictory Contraposition Conversion Copula Definition Demonstrative denote deny determined Disjunctive Disjunctive Syllogism distinct enounced Enthymeme equal event evidence Excluded exists explicated expressed Extension fact faculty Fallacy false Figure former Genus gism Hamilton Hence Immediate Inference individual Induction Inductive Reasoning infinite instance Intension Intuition knowledge language Laws of Thought Logic logicians Major Premise Marks Matter meaning ment merely Middle Term mind mode Modus tollens Moods nature necessary Negative not-X notion objects observed particular peculiar perception Predicate principle properly Proposition proved Pure Thought qualities Quantity rational reasoning reduced relation respect Rule sion Sir William Hamilton sophism Species Subalternation Subject sublating Sumption Syllogism tion tive true truth Universal valid whole words
Սիրված հատվածներ
Էջ 423 - Intuitions can be now known to us only by an act of remembrance ; and as the strength of a chain is the strength of its weakest link...
Էջ 392 - It consists in ascribing the character of general truths to all propositions which are true in every instance that we happen to know of.
Էջ 24 - And a little attention will discover that it is not necessary (even in the strictest reasonings) that significant names which stand for ideas should, every time they are used, excite in the understanding the ideas they are made to stand for : in reading and discoursing, names being for the most part used as letters are in Algebra...
Էջ 297 - Englishmen or not-Englishmen,' to the exclusion of the third possibility of a mixed force, so it is false to say, ' Every body must move in the place where it is, or in the place where it is not,' to the exclusion of the third possibility of moving partly in the one and partly in the other.
Էջ 444 - were to determine to play for their whole property, what would be the effect of this agreement? The one would only double his fortune, and the other reduce his to naught. What proportion is there between the loss and the gain? The same that there is between all and nothing. The gain of the one is but a moderate sum, — the loss of the other is numerically infinite, and morally so great that the labour of his whole life may not perhaps suffice to restore his property.
Էջ 392 - ... apprehension. If, then, the processes which bring these cases within the same category with the rest require that we should assume the universality of the very law which they do not at first sight appear to exemplify, is not this a petitio principii? Can we prove a proposition by an argument which takes it for granted? And if not so proved, on what evidence does it rest?
Էջ 392 - To an inhabitant of Central Africa, fifty years ago, no fact probably appeared to rest on more uniform experience than this, that all human beings are black. To Europeans, not many years ago, the proposition, All swans are white, appeared an equally unequivocal instance of uniformity in the course of nature. Further experience has proved to both that they were mistaken; but they had to wait fifty centuries for this experience.
Էջ 290 - ... 2. None but Whites are civilized : the ancient Germans were Whites : therefore they were civilized. 3. None but Whites are civilized : the Hindoos are not Whites : therefore they are not civilized. 4. None but civilized people are Whites : the Gauls were Whites : therefore they were civilized. 5. No one is rich who has not enough : no miser has enough : therefore no miser is rich. 6. If penal laws against Papists were , enforced, they would be aggrieved : but penal laws against them are not enforced...
Էջ 23 - Words are the fortresses of thought. They enable us to realize our dominion over what we have already overrun in thought, — to make every intellectual conquest the basis of operations for others still beyond. Or another illustration : You have all heard of the process of tunnelling, of tunnelling through a sand-bank. In this operation it is impossible to succeed unless every foot — nay, almost every inch — in our progress be secured by an arch of masonry, before we attempt the excavation of...
Էջ 150 - Mathematics. so denominated, and thought proper, we have seen, is the cognition of one object of thought by another, in or under which it is mentally included ; in other words, thought is the knowledge of a thing through a concept or general notion, or of one notion through another.