Argument (logic)

“ The argument, though founded on premises which have been gathered by careful observation and study, often disregards the forms of the logic whose spirit it obeys, and, by its frequent use of analogy and illustration, may sometimes dazzle and confuse the minds it seeks to convince. ”

“ But reasoning, even in the widest sense of which the word is susceptible, does not seem to comprehend all that is included, either in the best, or even in the most current, conception of the scope and province of our science. The employment of the word Logic to denote the theory of Argumentation, is derived from the Aristotelian, or, as they are commonly termed, the scholastic, logicians. ”

“ He was in LOGIC a great critic, 65
Profoundly skill'd in analytic;
He could distinguish, and divide
A hair 'twixt south, and south-west side:
On either which he would dispute,
Confute, change hands, and still confute, 70
He'd undertake to prove, by force
Of argument, a man's no horse; ”

“ There is, therefore, nothing paradoxical, but the reverse, in our being led by observation to a recognition of such truths, as general propositions, co-extensive at least with all human experience. That they pervade all the objects of experience, must insure their continual suggestion by experience; that they are true, must insure that consistency of suggestion, that iteration of uncontradicted assertion, which commands implicit assent, and removes all occasion of exception; that they are simple, and admit of no misunderstanding, must secure their admission by every mind. ”

“ It is a maxim of the school-men, that “contrariorum eadem est scientia:” we never really know what a thing is, unless we are also able to give a sufficient account of its opposite. Conformably to this maxim, one considerable section, in most treatises on Logic, is devoted to the subject of Fallacies; and the practice is too well worthy of observance, to allow of our departing from it. The philosophy of reasoning, to be complete, ought to comprise the theory of bad as well as of good reasoning. ”

“ It is necessity, in the metaphysical sense, some here utterly obscure kind of ‘logical necessity’ which is the favourite toy of a number of art critics. To those who have some familiarity both with Logic and with Psychology the regular appearance of the term ‘logical’ in describing these relations is the clearest indication that nothing definite or adequately considered is being said. ”

“ It is therefore necessary, in analysing a belief, to look for some other logical form than a two-term relation. Failure to realise this necessity has, in my opinion, vitiated almost everything that has hitherto been written on the theory of knowledge, making the problem of error insoluble and the difference between belief and perception inexplicable.
Modern logic, as I hope is now evident, has the effect of enlarging our abstract imagination, and providing an infinite number of possible hypotheses to be applied in the analysis of any complex fact. ”

“ Logic takes cognizance of our intellectual operations only as they conduce to our own knowledge, and to our command over that knowledge for our own uses. If there were but one rational being in the universe, that being might be a perfect logician; and the science and art of logic would be the same for that one person as for the whole human race. ”

“ Strictly we ought to speak of conceiving, judging and inferring on the one hand, and, on the other, of the concept, the judgement and the inference.
The direct object of logic is the study of the products rather than of the processes of thought. But, at the same time, in studying the products we are studying the processes in the only way in which it is possible to do so. For the human mind cannot be both actor and spectator at once; we must wait until a thought is formed in our minds before we can examine it. ”

“ The traditional Logic of the text-books, when it reasons from universals to their subalternate particulars, or derives particular conclusions from universal premises, does so by tacitly and, in general, by unjustifiably assuming the external existence of the objects reasoned about, while all the time still sundering external and internal. Reasoning itself is, to be sure, experience, but is, by hypothesis, experience of internal meanings, not of the external meanings which are taken, by this sort of thinking, to be the Reality. ”

“ But such objections imply that nothing short of absolute truth has any value; that all our discussions and investigations in science or social affairs are without logical criteria; that Logic must be confined to symbols, and considered entirely as mental gymnastics. In this book prominence will be given to the character of Logic as a formal science, and it will also be shown that Induction itself may be treated formally ”

“ It is usual to point out that Psychology tries to explain the subjective processes of conception, judgment and reasoning, and to give their natural history; but that Logic is wholly concerned with the results of such processes, with concepts, judgments and reasonings, and merely with the validity of the results, that is, with their truth or consistency; whilst Psychology has nothing to do with their validity, but only with their causes. ”

“ It has been disputed whether Logic is a science or an art; and, in fact, it may be considered in both ways. As a statement of general truths, of their relations to one another, and especially to the first principles, it is a science; but it is an art when, regarding truth as an end desired, it points out some of the means of attaining it—namely, to proceed by a regular method, to test every judgment by the principles of Logic, and to distrust whatever cannot be made consistent with them. Logic does not, in the first place, teach us to reason. ”

“ If, as was said at an earlier point, the different stages of the logical idea are to be treated as a series of definitions of the Absolute, the definition which now results for us is that the Absolute is the Notion. That necessitates a higher estimate of the notion, however, than is found in formal conceptualist Logic, where the notion is a mere form of our subjective thought, with no original content of its own. ”

“ That all contradiction in concepts should be [Pg 33] forbidden, is the result of a belief, that we are able to form concepts, that a concept not only characterises but also holds the essence of a thing.... As a matter of fact, logic (like geometry and arithmetic) only holds good of assumed existences which we have created. Logic is the attempt on our part to understand the actual world according to a scheme of Being devised by ourselves; or, more exactly, it is our attempt at making the actual world more calculable and more susceptible to formulation, for our own purposes.... ”

“ But such a connection of thoughts cannot be conceived or understood without reference to the purpose of a reasoner, who selects what he requires from the totality of 'truths.' If, then, 'Logic' has merely to contemplate this eternal and immutable system of truth in its integrity, and forbids all selection from it for a merely human purpose, how can it either justify, or even understand, the drawing of any inference whatever? ”

“ But to impose upon the facts in the first instance the yoke of a theory, while the grounds of the theory are reserved for discussion in a subsequent stage, is not a course which a logician can reasonably adopt. ”

“ At every step we must assure ourselves that no other law of nature has superseded, or intermingled its operation with, those which are the premises of the reasoning; and how can this be done by merely looking at the words? We must not only be constantly thinking of the phenomena themselves, but we must be constantly studying them; making ourselves acquainted with the peculiarities of every case to which we attempt to apply our general principles. ”

“ In some problems, for example, the analysis of space and time, the nature of perception, or the theory of judgment, the discovery of the logical form of the facts involved is the hardest part of the work and the part whose performance has been most lacking hitherto. It is chiefly for want of the right logical hypothesis that such problems have hitherto been treated in such an unsatisfactory manner, and have given rise to those contradictions or antinomies in which the enemies of reason among philosophers have at all times delighted. ”

“ It is enough if the analysis as far as it goes is correct, and if it goes far enough for the practical purposes of logic considered as an art. The separation of a complicated phenomenon into its component parts, is not like a connected and interdependent chain of proof. ”

“ In that case, logic would be an imperative, not directed at the knowledge of truth, but at the adjusting and fixing of a world which must seem true to us. In short, the question is a debatable one: are the axioms of logic adequate to reality, or are they measures and means by which alone we can, create realities, or the concept " reality "? ”

“ This mode of expression, exhibiting as the type of all reasoning from experience "The men A, B, C, etc., are so and so, therefore any man is so and so," would much better manifest the true idea--that inductive reasoning is always, at bottom, inference from particulars to particulars, and that the whole function of general propositions in reasoning, is to vouch for the legitimacy of such inferences. ”

“ The ideas which, on the particular occasion, they happen to represent, are banished from the mind during every intermediate part of the process, between the beginning, when the premises are translated from things into signs, and the end, when the conclusion is translated back from signs into things. Nothing, then, being in the reasoner’s mind but the symbols, what can seem more inadmissible than to contend that the reasoning process has to do with any thing more? ”

“ While traditional logic has much to say about truth, the truth it talks about is mere formal consistency, since it declines to consider the material application of its premises. Relevance—a fundamental conception of concrete thought—is excluded because it goes with selection, with selection of the part that is useful, while formal logic professes an all-inclusive ideal. ”

“ These fully developed thought-processes are marked off by the use of what is known as the general idea or notion such as man or virtue. Such general ideas when reduced to a precise form as by the logician are spoken of as concepts. And since the science of logic assumes thinking to take place by help of such conceptual products we may also speak of these full or explicit thought-processes as Conceptual Thought. ”

“ Of the science, therefore, which expounds the operations of the human understanding in the pursuit of truth, one essential part is the inquiry: What are the facts which are the objects of intuition or consciousness, and what are those which we merely infer? But this inquiry has never been considered a portion of logic. ”

“ And so in all cases, the general propositions, whether called definitions, axioms, or laws of nature, which we lay down at the beginning of our reasonings, are merely abridged statements, in a kind of short-hand, of the particular facts, which, as occasion arises, we either think we may proceed on as proved, or intend to assume. In any one demonstration it is enough if we assume for a particular case suitably selected, what by the statement of the definition or principle we announce that we intend to assume in all cases which may arise. ”

“ But there is a distinction to be first drawn, which does not answer to any of the divisions of sound arguments, but arises out of the nature of bad ones. We may know exactly what our evidence is, and yet draw a false conclusion from it; we may conceive precisely what our premises are, what alleged matters of fact, or general principles, are the foundation of our inference; and yet, because the premises are false, or because we have inferred from them what they will not support, our conclusion may be erroneous. ”

“ Indeed, for this reason, it is impossible to illustrate Logic sufficiently: the reader who is in earnest about the cogency of arguments and the limitation of proofs, and is scrupulous as to the degrees of assent that they require, must constantly look for illustrations in his own knowledge and experience and rely at last upon his own sagacity. ”

“ Moreover, the act of generalizing or determining is really an act of judgment, so that the logician's account of conception presupposes judgment, while at the same time his account of judgment presupposes conception. But this is no evil; for logic does not essay to exhibit the actual genesis of thought but only an ideal for future thinking. ”

“ A logical theory may be tested by its capacity for dealing with puzzles, and it is a wholesome plan, in thinking about logic, to stock the mind with as many puzzles as possible, since these serve much the same purpose as is served by experiments in physical science. ”

“ It can not, indeed, be pretended that logical principles can be altogether irrelevant to those more abstruse discussions; nor is it possible but that the view we are led to take of the problem which logic proposes, must have a tendency favorable to the adoption of some one opinion, on these controverted subjects, rather than another. For metaphysics, in endeavoring to solve its own peculiar problem, must employ means, the validity of which falls under the cognizance of logic. ”

“ If you would interpret the riddle of human motives, put no confidence in logic. The principles of logic are founded on the psychology of Anyone. And Anyone is a mechanical waxwork, an intellectual abstraction, a thing without a soul or a sub-consciousness. ”