The link between deductive reasoning and mathematics

Relations between inductive reasoning and deductive reasoning.

One of the most important open questions in reasoning research is how inductive reasoning and deductive reasoning are related. In an effort to address this question, we applied methods and concepts from memory research. We used 2 experiments to examine the effects of logical validity and premise-conclusion similarity on evaluation of arguments. Experiment 1 showed 2 dissociations: For a common ...

Mathematics Learning and the Development of General Deductive Reasoning

This study aims to examine the approaches of people involved in mathematics education and logic to the role played by learning mathematics in the development of general deductive reasoning. The data source includes 21 individual semistructured interviews. Analysis based on the Grounded Theory method identified three distinct groups of interviewees with relation to views of (a) the meaning of de...

The Invisible Link Between Mathematics and Theology

If we compare the mathematics of antiquity with that of the seventeenth century, we find differences in a whole range of aspects. For the ancients, notions like infinity, chance, space, or motion fell outside mathematics, while in the seventeenth century new mathematical theories about these notions appeared. I believe that this fundamental change can be ascribed to the influence of theology. F...

The Relationship between Reduction and Deductive & Inductive Reasoning

Deductive Reasoning

Deductive reasoning is the kind of reasoning in which, roughly, the truth of the input propositions (the premises) logically guarantees the truth of the output proposition (the conclusion), provided that no mistake has been made in the reasoning. The premises may be propositions that the reasoner believes or assumptions that the reasoner is exploring. Deductive reasoning contrasts with inductiv...