A Brain for Numbers The Biology of the Number Instinct 1st Edition by Andreas Nieder – Ebook PDF Instant Download/Delivery: 0262042789, 9780262042789
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Product details:
ISBN 10: 0262042789
ISBN 13: 9780262042789
Author: Andreas Nieder
A Brain for Numbers The Biology of the Number Instinct 1st Table of contents:
Part I: Conceptual Foundations
1. Thinking about Numbers
1.1 Mathematical Reality
1.2 Cardinal Numbers as Objective Properties of a Set
1.3 Knowledge of Numbers
2. Numerical Concepts, Representations, and Systems
2.1 Numerical Concepts
2.2 Mental Numerical Representations and Mental Systems
Part II: Numbers Deeply Rooted in Our Ancestry
3. Understanding Numbers across the Animal Tree of Life
3.1 The Diversification of Animal Life
3.2 The Theory of Evolution
3.3 Classic Studies on Animal “Counting”
3.4 How to Test Animals on Numerical Cognition
3.5 The Phylogeny of Numerical Competence
3.6 Signatures of Animal Number Discrimination
4. The Utility of Number for Animals
4.1 A Matter of Fitness
4.2 Staying Alive
4.3 Benefits for Reproduction
5. Biological Heritage in the Human Brain
5.1 Baby Steps
5.2 Approximate Number System versus Object Tracking System
5.3 Number Discrimination in Humans Lacking Number Words
5.4 The Ancient Logarithmic Number Line
Part III: Numerical Quantity in the Brain
6. Localizing Numerical Quantity Representations in the Human Brain
6.1 The Building Plan of the Cerebral Cortex
6.2 At a Loss for Numerical Quantity after Brain Injury
6.3 Mapping Numerical Quantity on the Healthy Human Brain
7. Number Neurons
7.1 The Language of Neurons
7.2 The Discovery of Number Neurons in the Monkey Brain
7.3 The Neuronal Code for Number
7.4 Number Neurons Are Necessary for Number Judgments
7.5 Number Neurons Represent Different Presentation Types and Modalities
7.6 Convergent Evolution of Number Neurons: Lessons from Crows
7.7 Number Neurons in the Human Brain
7.8 An Innate Number Instinct
7.9 Number Models and Networks
7.10 Numerical Working Memory
Part IV: Number Symbols
8. Signs for Numbers
8.1 Evolution Pushed Homo sapiens toward Symbolic Thinking
8.2 Number Signs: Icons, Indices, and Symbols
8.3 Invention of Number Symbols in Human History
8.4 How Children Learn to Deal with Number Signs
8.5 Teaching Number Signs to Animals
9. Neural Foundation of Counting and Number Symbols
9.1 The Patient Who Lost All Numbers beyond Four
9.2 Imaging in the Human Brain During Symbolic Numerical Tasks
9.3 Numerical Association Neurons in Monkeys
9.4 Symbolic Number Neurons in the Human Brain
9.5 A Brain Area Dedicated to Numerals
10. The Calculating Brain
10.1 Non-symbolic Calculation in Indigenous People, Infants, and Animals
10.2 Single-Neuron Arithmetic
10.3 Cortical Location of Calculation
10.4 Dissociation of Calculation Types: Procedure versus Facts
10.5 Left versus Right Brain
10.6 Dissociated Brain Networks for Calculation and Language
10.7 Professional Mathematicians and Mathematical Prodigies
11. Space and Number
11.1 Small Numbers on the Left, Large Numbers on the Right
11.2 Carried along the Number Line During Calculation
11.3 Space and Number in the Brain
Part V: Development
12. The Developing Number Brain
12.1 Counting in Children
12.2 Startup Tools for a Symbolic Number System
12.3 Out of Approximate Quantity and into Symbolic Number
12.4 Brain Activity in the Developing Brains of Children
12.5 Abstractness of Number Representations in the Brain
13. Developmental Dyscalculia
13.1 Developmental Dyscalculia and How It Affects Life
13.2 Domain-General and Domain-Specific Impairment in Dyscalculia
13.3 Tracing Dyscalculia Back to Brain Anatomy
13.4 Functional Differences in Brain Activation of Dyscalculic Children
13.5 It’s (Partly) in the Genes
Part VI: The Brain Departing from Empirical Reality
14. The Magical Number Zero
14.1 A Special Number
14.2 Zero in Human History
14.3 Development of Zero-like Concepts in Children
14.4 Zero-like Concepts in Animals
14.5 Neuronal Representations of “Nothing” and Empty Sets
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Tags: Andreas Nieder, Brain, Biology, Number Instinct


