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Uitgewerkte oefeningen (voorbeeldexamenvragen) Predikatenlogica - PL1 -17/20 in 1e zit! $7.01
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  3. Vrije Universiteit Brussel (VUB)
  4.  
  5. Letteren En Wijsbegeerte
  6.  
  7. Logica en Wetenschapsfilosofie (1020814AER)

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Uitgewerkte oefeningen (voorbeeldexamenvragen) Predikatenlogica - PL1 -17/20 in 1e zit!

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  • Course
  • Logica en Wetenschapsfilosofie (1020814AER)
  • Institution
  • Vrije Universiteit Brussel (VUB)

Dit document omvat 28 uitgewerkte bewijzen/redeneringen in PL1 (predikatenlogica). De oefeningen komen uit de voorbeeldexamens Logica en Wetenschapsfilosofie van voorbije jaren gedoceerd door prof. Van Bendegem en prof. Van Kerkhove en zijn nagekeken en verbeterd door de assistent. In mijn examenj...

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Document information

  • February 13, 2022
  • 14
  • 2020/2021
  • Exam (elaborations)
  • Questions & answers

Subjects

  • logica
  • predikatenlogica
  • pl1
  • redeneringen in pl1
  • bewijzen pl1
  • wijsbegeerte
  • letteren en wijsbegeerte
  • taal en letterkunde
  • toegepaste taalkunde
  • voorbeeldexamenvragen pl1
  • voo
  • logica en wetenschapsfilosofie

Written for

  • Vrije Universiteit Brussel (VUB)
  • Letteren En Wijsbegeerte
  • Logica en Wetenschapsfilosofie (1020814AER)
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Marie C.


Oefeningen PL1 – predikatenlogica
Het bestand bevat volgende uitgewerkte oefeningen
1) (∃x)(Px ⊃ Qx), (∀x)∼Qx ⊢∼(∀x)Px
2) (∀x)Px ⊢ (∃x)(Rx ⊃ (Px v Qx))
3) (∃x)Px ⊢ (∃x)(Rx ⊃ (Px v Qx))
4) ∼(∃x)Px, (∀x)(∼Px ⊃ Qx) ⊢ (∃x)Qx
5) (∃x)(Px & Qx), (∀x)((Px v Qx) ⊃ Rx) ⊢ (∃x)Rx
6) (∀x)(Px & Qx), (∀x)(Rx ⊃∼Qx) ⊢∼(∃x)Rx
7) (∀x)(Px & Qx), (∃x)(Px ⊃ Rx) ⊢ (∃x)Rx
8) ∼(∀x)Px, (∀x)Qx ⊢ (∃x)(∼Px & Qx)
9) ∼(∃x)Px ⊢ (∀x)(Px ⊃∼Px)
10) (∃x)(Px⊃Qx), (∀x)(Px ⊃∼Qx)⊢∼(∀x)Px
11) (∃x)∼Px, (∀x)(∼Qx⊃Px) ⊢(∃x)Qx
12) (∀x)Px& (∃x)Qx, (∀x)(Qx ⊃Rx)⊢(∃x)(Px& Rx)
13) (∃x)(Px)v (∃x)(Qx)⊢(∃x)(Px v Qx)
14) (∃x)(Px& Qx)⊢(∃x)(Px) &(∃x)(Qx)
15) (∃x)∼(∼Px v Qx) ⊢(∃x)(Px& ∼Qx)
16) (∃x)∼Px ⊢(∃x)(Px ⊃Qx)
17) ~(∀x)(Px⊃Qx) ⊢(∃x)(Px & ~Qx)
18) (∀x)(Px⊃Qx), (∀x)(Px v Qx) ⊢ (∃x)Qx
19) (∀x)(Px⊃(Qx & Rx)), (∃x)(Px v Qx) ⊢ (∃x)Qx
20) (∀x)(Px⊃~Qx) ) ⊢ ~(∃x)(Px & Qx)
(∀x)(Px⊃~Qx) ) ⊢ (∀x)~(Px & Qx)
21) (∃x)(Px⊃~Qx) ⊢ ~(∀x)Px
22) (∀x)(Px⊃(Qx & Rx)), (∃x)~Qx ⊢ (∃x)~Px
23) ⊢ (∀x)(Px ⊃ Qa) = (∃x)(Px) ⊃ Qa
24) ⊢ (∀x)(Pa ⊃ Qa) = (Pa ⊃ (∀x)Qx )
25) (x)(Px  Qx), (x)Qx ⊢ (x)Px
26) (∃x)(Px) ⊢ (x)~Px
27) (x)~Px ⊢ ~(∃x)Px
28) (x)Px ⊢ ~(∃x)~Px

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