This book is written for everybody who would like to be introduced to that realm of human cognition that most differentiates us from all other creatures we know of in the universe. It is written to touch upon this faculty as the ultimate embodiment of thought in an age when the superficial and irrational is not only rife, but has become a dominating cultural expression of intellectual laziness. The danger of this culture forwarns the degeneration of civilisation into a society where unschooled minds appreciate the opinion of celebrity ignorants, military bullies, and the values of pop-up religions more than academia's systematically scrutinised wisdom. Such a culture stimulates the emergence of narrow mindedness, prejudice, and foolishness, feeding totalitarianism and oppression. We hereby Join the battle that may ensure a tolerable existence for future generations, by expounding the virtues of critical thinking in its purest embodiment. The book thoroughly covers propositional and predicate logic, set theory and functions, complexity theory and algorithm analysis as well as modal logic and model theory. It can be used for basic and also for more advanced studies in logic with a special focus on applications in systems science. The material there is sufficient for 2-3 courses in logic and can be divided in two basic parts and a more advanced part.

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