Logical and Analogical Thinking

Analogical Processes -1 Analogical Processes in Human Thinking and Learning

Much of humankind's remarkable mental aptitude can be attributed to analogical ability – the ability to perceive and use relational similarity. In this chapter, we present an overview of analogy and describe its component processes, including structural alignment and inference projection, evaluation, schema abstraction and re-representation. We discuss how these component processes lead to lear...

Analogical Processes in Human Thinking and Learning

Much of humankind's remarkable mental aptitude can be attributed to analogical abil ity the abil ity to perceive and use relational similarity. In this chapter, we present an overview of analogy and describe its component processes, including structural alignment and inference projection, evaluation, schema abstraction and re-representation. We discuss how these component processes lead to lear...

From Analogical Proportion to Logical Proportions

Given a 4-tuple of Boolean variables (a, b, c, d), logical proportions are modeled by a pair of equivalences relating similarity indicators (a∧ b and a ∧ b), or dissimilarity indicators (a ∧ b and a ∧ b) pertaining to the pair (a, b), to the ones associated with the pair (c, d). There are 120 semantically distinct logical proportions. One of them models the analogical proportion which correspon...

Logical Instruments: Regular Expressions, AI and thinking about thinking

Programming Games for Logical Thinking

Analytical thinking is a transversal skill that helps learners synthesize knowledge across subject areas; from mathematics, science, and technology to critical reading, critical examination, and evaluation of lessons. While most would not doubt the importance of analytical capacity in academic settings and its growing demand for the skill in professional environments, school curricula do not co...