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- Alexander Campbell Fraser (1858/1974). Rational Philosophy in History and in System: An Introduction to a Logical and Metaphysical Course. New York,B. Franklin.
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Chinese people attach importance to intuition and imagery in ways of thinking that are quite sensible, but the result, i.e. the thoughts that are popularized in virtue of political power, are rather rational. These rational thoughts, which were influenced by Buddhism and continually became introspective, had been growing more irrational factors. Up to the middle and late Ming Dynasty, when the economy was developed, they merged with the growing emphasis on daily needs of food and clothes and the envisagement to the utilitarian circumstances, and finally broke through the threshold of rationalism. Under the attack of Geng Dingxiang, Li Zhi who emphasized these thoughts was forced beyond his previous boundaries and led a whole variation in how he viewed a series of issues including values, humanity, ethics and aesthetics. This indicated a historical change from rationalism to irrationalism in Chinese humanism and aesthetics thoughts.
The logical properties of the 'if-then' connective of ordinary English differ markedly from the logical properties of the material conditional of classical, two-valued logic. This becomes apparent upon examination of arguments in conversational English which involve (noncounterfactual) usages of if-then'. A nonclassical system of propositional logic is presented, whose conditional connective has logical properties approximating those of 'if-then'. This proposed system reduces, in a sense, to the classical logic. Moreover, because it is equivalent to a certain nonstandard three-valued logic, its decision procedure is almost as efficient as that of the classical logic. It therefore provides a rational and convenient system in which to formalize English arguments.
In this commentary on Stanovich & West (S&W) we call attention to two points: (1) Freud's original dual process theory, which antedates others by some seventy-five years, deserves inclusion in any consideration of dual process theories. His concepts of primary and secondary processes (Systems 1 and 2, respectively) anticipate significant aspects of current dual process theories and provide an explanation for many of their characteristics. (2) System 1 is neither rational nor irrational, but instead a-rational. Nevertheless, both the a-rational System 1 and the rational System 2 can each have different roles in enhancing evolutionary fitness. Lastly, System 1 operations are incorrectly deemed “rational” whenever they increase evolutionary fitness.
I argue for the thesis (UL) that there are certain logical abilities that any rational creature must have. Opposition to UL comes from naturalized epistemologists who hold that it is a purely empirical question which logical abilities a rational creature has. I provide arguments that any creatures meeting certain conditions—plausible necessary conditions on rationality—must have certain specific logical concepts and be able to use them in certain specific ways. For example, I argue that any creature able to grasp theories must have a concept of conjunction subject to the usual introduction and elimination rules. I also deal with disjunction, conditionality and negation. Finally, I put UL to work in showing how it could be used to define a notion of logical obviousness that would be well suited to certain contexts—e.g. radical translation and epistemic logic—in which a concept of obviousness is often invoked.
Introduction -- Rational explanation of belief -- Rational explanation of action -- (Non-human) animals and their reasons -- Rational explanation and rational causation -- Events and states -- Physicalism.
To improve our methods of rational inquiry and decision-making we need to recognize that such methods should guide but not fully determine the choices of individuals. Failure to acknowledge the essential incompleteness of rational methods made the methods of Classical Rationalism quite impractical and opened them to skeptical refutation. Mitigated Skepticism and Fideism failed to correct the error, and as a result put undesirable limits on rational inquiry. When the guiding character of rational methods is recognized, existing methods of scientific research of personal and social decision-making can themselves be rationally assessed and improved. Viewing rational methods as guides thus opens a whole field of inquiry, the inquiry into what rational methods are most useful for specific purposes and in specific situations.
What is the rational response when confronted with a set of propositions each of which we have some reason to accept, and yet which taken together form an inconsistent class? This was, in a nutshell, the problem addressed by the Jaina logicians of classical India, and the solution they gave is, I think, of great interest, both for what it tells us about the relationship between rationality and consistency, and for what we can learn about the logical basis of philosophical pluralism. The Jainas claim that we can continue to reason in spite of the presence of inconsistencies, and indeed construct a many-valued logical system tailored to the purpose. My aim in this paper is to offer a new interpretation of that system and to try to draw out some of its philosophical implications.
Beall and Restall [2000], [2001] and [2006] advocate a comprehensive pluralist approach to logic, which they call Logical Pluralism, according to which there is not one true logic but many equally acceptable logical systems. They maintain that Logical Pluralism is compatible with monism about metaphysical modality, according to which there is just one correct logic of metaphysical modality. Wyatt [2004] contends that Logical Pluralism is incompatible with monism about metaphysical modality. We first suggest that if Wyatt were right, Logical Pluralism would be strongly implausible because it would get upside down a dependence relation that holds between metaphysics and logic of modality. We then argue that Logical Pluralism is prima facie compatible with monism about metaphysical modality.
Beall and Restall [2000], [2001] and [2006] advocate a comprehensive pluralist approach to logic, which they call Logical Pluralism, according to which there is not one true logic but many equally acceptable logical systems. They maintain that Logical Pluralism is compatible with monism about metaphysical modality, according to which there is just one correct logic of metaphysical modality. Wyatt [2004] contends that Logical Pluralism is incompatible with monism about metaphysical modality. We first suggest that if Wyatt were right, Logical Pluralism would be strongly implausible because it would get upside down a dependence relation that holds between metaphysics and logic of modality. We then argue that Logical Pluralism is prima facie compatible with monism about metaphysical modality.
Discussion of Alexander Campbell Fraser, Rational Philosophy in History and in System: An Introduction to a Logical and Metaphysical Course
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