Semantics 1, SoSe 2016 (Sailer): Difference between revisions
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<embedvideo service="youtube" dimensions="400">http://youtu.be/C1rjU104R54</embedvideo> | <embedvideo service="youtube" dimensions="400">http://youtu.be/C1rjU104R54</embedvideo> | ||
== Truth tables == | |||
<quiz display="simple"> | |||
{Click on the boxes for which the truth value would be ''true''. | |||
|type="[]"} | |||
| '''p''' | '''q''' | <span style="color:white">zwisch</span>('''p ''' ∧ '''q''')<span style="color:white">zwisch</span> | <span style="color:white">zwisch</span> ¬('''p ''' ∧ '''q''')<span style="color:white">zwisch</span>|<span style="color:white">zwisch</span>('''q''' ⊃ ¬ ('''p ∧ q'''))<span style="color:white">zwisch</span> | |||
+++-- (both '''p''' and '''q''' are true) | |||
+--++ ('''p''' is true, but not '''q''') | |||
-+-++ ('''p''' is false, but '''q''' is true) | |||
---++ (both '''p''' and '''q''' are false) | |||
</quiz> | |||
<quiz display="simple"> | |||
{Click on the boxes for which the truth value would be ''true''. | |||
|type="[]"} | |||
| '''p''' | '''q''' | '''r''' |<span style="color:white">zwisch</span>¬ r<span style="color:white">zwisch</span> | <span style="color:white">zwisch</span> ('''p ''' ∨ '''q''')<span style="color:white">zwisch</span>|<span style="color:white">zwisch</span>(('''p ∨ q''') ⊃ ¬r)<span style="color:white">zwisch</span> | |||
+++-+- ('''p''', '''q''', and '''r''' are true) | |||
++-+++ ('''p''' and '''q''' are true, '''r''' is false) | |||
+-+-+- ('''p''' and '''r''' are true, '''q''' is false) | |||
+--+++ ('''p''' is true, '''q''' and '''r''' are false) | |||
-++-+- ('''p''' is false, '''q''' and '''r''' are true) | |||
-+-+-+ ('''p''' and '''r''' are false, '''q''' is true) | |||
--+--+ ('''p''' and '''q''' are false, '''r''' is true) | |||
---+-+ ('''p''', '''q''', and '''r''' are false) | |||
</quiz> | |||
== Preparation for week 5 == | == Preparation for week 5 == |
Revision as of 20:10, 3 May 2016
Additional material for week 5
Formulae with more than one connective
The video shows how the truth value of a more complex formula can be computed. The example contains two connectives:
kill(malcom,lady-macbeth) ∨ ¬thane(macbeth)
The video shows two different methods: top down and bottom up.
Truth tables
Preparation for week 5
- Read Levine et al (in prep.), Chapter 2, section 2.
- Using your model from last week,
- Give 1 formula with ⊃.
- Give 1 formule with 2 different connectives (both distinct from ⊃)
- Provide the step-by-step computation of the truth of your 2 formulae.
Additional material for week 4
The material can be found on the page Semantics 1, SoSe 2016 (Sailer): Week 4
Additional material for week 3
The material for week 3 can be accessed here