Mathematical logic and formal semantics UE Past Papers Questions.


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(1138) Question Category: Mathematical Calculation

Use the semantic tableaux to test satisfiability of the following proposals

  1. ^-(p
ightarrow q)wedge(^-pvee q)
  2. (pvee ^-q)wedge(qwedge ^-r)wedge(r
ightarrow p)
  3. [(p
ightarrow(^-q
ightarrow r))wedge(p
ightarrow^-q)]
ightarrow(p
ightarrow r)

Answer / Solution

UNSOLVED

(1139) Question Category: Mathematical Calculation

Give proof of the following statements. For each statement, state a type of the proof used.

  1. For every real number x, if x^2 +1<0 then x^5>4
  2. For every real number x, if x>0 then x^2 +5 >0

Answer / Solution

UNSOLVED

(1140) Question Category: Mathematical Calculation

Show by giving a direct proof , that the square of an odd number is odd.

Answer / Solution

UNSOLVED

(1141) Question Category: Mathematical Calculation

Show , by giving an indirect proof, that if x^2 is divisible by 3 then x is also divisible by 3.

Answer / Solution

UNSOLVED

(1142) Question Category: Mathematical Calculation

Show by giving a proof by contradiction , that sqrt3 is irrational.

Answer / Solution

UNSOLVED


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