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Discrete Mathematics (1): Logic I




Discrete mathematics logic is a fundamental branch of mathematics that deals with the study of formal reasoning and logical structures.


It provides a systematic approach to understanding and analyzing logical statements, arguments, and relationships between mathematical objects.


As a field of study, discrete mathematics logic plays a crucial role in various areas of computer science, mathematics, philosophy, and other disciplines.


At its core, discrete mathematics logic focuses on the principles and techniques used to reason and make deductions in a precise and rigorous manner.


It explores the foundations of mathematical reasoning, investigating the rules and structures that govern logical thinking.


By employing a formal language and symbolic notation, discrete mathematics logic enables us to represent complex ideas and concepts in a concise and unambiguous manner.



  1. Conditional Logic


  • if A, then B.

  • a conditional is only false when the hypothesis is true and the conclusion is false




  • Propositional Logic


  • cannot both be true: contrary

  • cannot both be false: subcontrary

  • if A is true, then B is true: subalternation (see arrow)









Well done! You've reached the end of this tutorial.


Take what you've learned and soar towards new horizons.


See You in Discrete Mathematics (2)!








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