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Belief in reasoning
Affiliation:1. Radboud University, Nijmegen 6525 EC, the Netherlands;2. Tilburg University, Tilburg 5037 AB, the Netherlands;1. Department of Mathematics, Shaanxi University of Science & Technology, Xi’an 710021, China;2. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;3. Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA;4. Department of Mathematics, Obafemi Awolowo University, Ile Ife 220005, Nigeria;1. Malta Medicines Authority, Sir Temi Żammit Buildings, MaltaLife Sciences Park, San Ġwann SĠN 3000, Malta;2. Department of Biology, School of Pharmacy, University of Tor Vergata, Rome, Italy;1. Malta Medicines Authority, Sir Temi Żammit Buildings, MaltaLife Sciences Park, San Ġwann SĠN 3000, Malta;2. Department of Drug Sciences, University of Pavia, Italy;1. Malta Medicines Authority, Sir Temi Żammit Buildings, MaltaLife Sciences Park, San Ġwann SĠN 3000, Malta;2. Department of Biology, School of Pharmacy, University of Tor Vergata, Rome, Italy;1. School of Electronical and Electronics Engineering, Chung-Ang University, 84, Heukseok-Ro, Dongjak-Gu, Seoul 06974, Republic of Korea;2. Korea Institute of Industrial Technology, 143 Hanggaulro, Sangnok-gu, Ansan-si, Gyeonggi-do 15588, Republic of Korea
Abstract:Reasoning has three types, deduction, induction, and abduction, of which we perceive deduction to be necessarily true, induction plausibly true, and abduction only hypothetically true. Syllogistic is a theory of deductive reasoning, introducing three figures of inferencing, of which figure-1 is obviously true, figure-3 and figure-2 are increasingly less transparent. We argue that the three figures of syllogistic and the three types of reasoning are related and their truth perceptions can be explained as different degrees of belief. We suggest that the source of this difference can be found in the conversion of a premise required by syllogistic processing. Experimental results illustrating our theory are included.
Keywords:Semiotics  Cognition  Syllogism  Reasoning  Persuasion  Discourse
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