PROPOSITIONAL LOGIC

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THINK AGAIN II Mindmap am PROPOSITIONAL LOGIC, erstellt von cristian velez am 06/02/2014.
cristian velez
Mindmap von cristian velez, aktualisiert more than 1 year ago
cristian velez
Erstellt von cristian velez vor fast 11 Jahre
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Zusammenfassung der Ressource

PROPOSITIONAL LOGIC
  1. PROPOSITION: premise or conclusion of an argument true or false
    1. PROPOSITIONAL CONNECTIVE: takes propositions, and connects them to create new propositions and, or, not, but, only, if, furthermore, it is true that
      1. TRUTH FUNCTIONAL CONNECTIVE; propositional connective that makes a new proposition whose truth or falsity depends solely on t or f of its propositional ingredients.
        1. CONJUNCTION: "and" as a truthfunct connect.
          1. CONJUNCTION INTRODUCTION INFERENCE: the conclusion uses a conjunction that wasnt present
            1. .CONJUNCTION ELIMINATION ARGUMENT: the conclusion is either P or Q from P&Q (valid)
              1. conjunction&disjunction are both conmutative&associatives
              2. DISJUNCTION: P or Q or both
                1. SIMPLE disjunction eliminations arguments: not valid (PvQ/P) - unless there's a premise that discounts Q
                  1. disjunction introduction argument: P(sin OR) luego Q: PvQ: valid
                  2. CONJOINING A DISJUNCTION or DISJOINING A CONJUNCTION: depends on the ORDER
                    1. OPERATOR: operates on a proposition to produce ANOTHER prop.
                      1. I believe that: not truth functional
                        1. truth functional: NEGATION
                        2. CONDITIONAL; if..then, if, only if
                          1. modus ponens: Ptrue, ifPthenQ true, then Qtrue
                            1. modus tollens: if NOT Q, ifPthenQ true, then NOT P
                              1. OJO: Qtrue Ptrue: invalid
                              2. if argument P to Q valid, then ifPthenQ true
                              3. BICONDITIONALS: P-->Q & Q-->P: if and only if, “exactly when” and “just in case.”
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