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Do we reason when we think we reason, or do we think?

David Miller

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Non-deductive Logic in Mathematics: The Probability of Conjectures.James Franklin - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht, Netherland: Springer. pp. 11--29.details Mathematicians often speak of conjectures, yet unproved, as probable or well-confirmed by evidence. The Riemann Hypothesis, for example, is widely believed to be almost certainly true. There seems no initial reason to distinguish such probability from the same notion in empirical science. Yet it is hard to see how there could be probabilistic relations between the necessary truths of pure mathematics. The existence of such logical relations, short of certainty, is defended using the theory of logical probability (or objective Bayesianism (...) Download Export citation Bookmark
The Contrast Between Dogmatic and Critical Arguments.Danny Frederick - 2015 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 22 (1):9-20.details Karl Popper lamented the prevalence of dogmatic argument in philosophy and commended the kind of critical argument that is found in the sciences. David Miller criticises the uncritical nature of so-called critical thinking because of its attachment to dogmatic arguments. I expound and clarify Popper’s distinction between critical and dogmatic arguments and the background to it. I criticise some errors in Miller’s discussion. I reaffirm the need for philosophers to eschew dogmatic arguments in favour of critical ones. Download Export citation Bookmark
(1 other version)Realizmus a princíp empirizmu1.Miloš Taliga - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19:273-290.details Download Export citation Bookmark 1 citation
Formal logic and natural ways of reasoning.Roman Tuziak - 2021 - Studia Philosophica Wratislaviensia 16 (2):75-86.details In the paper I ask the question about the relation between formal logic and the natural logic of human mind. By a natural logic I mean the ways of thinking of a person that is intelligent but untrained in formal logic. As it turns out that the laws, rules or properties of formal logic in some cases diverge from the natural ways of reasoning, I explain the causes of this divergence. Since the majority of research in this area has been (...) Download Export citation Bookmark
A dialectical profile for the evaluation of practical arguments.Isabela Fairclough - unknowndetails This paper proposes a dialectical profile of critical questions attached to the deliberation scheme. It suggests how deliberation about means and about goals can be integrated into a single recursive procedure, and how the practical argument from goals can be integrated with the pragmatic argument from negative consequences. In a critical rationalist spirit, it argues that criticism of a proposal is criticism of its consequences, aimed at enhancing the rationality of decision-making in conditions of uncertainty and risk. Download Export citation Bookmark 4 citations

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