Book contents
- The Dialogical Roots of Deduction
- The Dialogical Roots of Deduction
- Copyright page
- Contents
- Figures
- Preface
- Part I The Philosophy of Deduction
- Part II The History of Deduction
- Part III Deduction and Cognition
- 8 How We Reason, Individually and in Groups
- 9 The Ontogeny of Deductive Reasoning
- 10 The Phylogeny of Deductive Reasoning
- 11 A Dialogical Account of Proofs in Mathematical Practice
- Conclusions
- References
- Index
9 - The Ontogeny of Deductive Reasoning
from Part III - Deduction and Cognition
Published online by Cambridge University Press: 10 December 2020
- The Dialogical Roots of Deduction
- The Dialogical Roots of Deduction
- Copyright page
- Contents
- Figures
- Preface
- Part I The Philosophy of Deduction
- Part II The History of Deduction
- Part III Deduction and Cognition
- 8 How We Reason, Individually and in Groups
- 9 The Ontogeny of Deductive Reasoning
- 10 The Phylogeny of Deductive Reasoning
- 11 A Dialogical Account of Proofs in Mathematical Practice
- Conclusions
- References
- Index
Summary
This chapter returns to the three main features of deduction defined in Chapter 1 from a cognitive, empirically informed perspective: necessary truth-preservation, perspicuity, and belief-bracketing. It discusses experimental findings that lend support to the dialogical conceptualization of these three features presented in Chapter 4. It also discusses the notion of internalization as formulated by Lev Vygotsky, which allows for an explanation of how deductive practices can also take place in purely mono-agent situations: as an intrapersonal enactment of interpersonal dialogues. The upshot is that framing deductive practices dialogically provides cognitive scaffolding that facilitates the ontogenetic development of deductive reasoning in an individual.
Keywords
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- Information
- The Dialogical Roots of DeductionHistorical, Cognitive, and Philosophical Perspectives on Reasoning, pp. 169 - 186Publisher: Cambridge University PressPrint publication year: 2020