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ZWMath›Logic›Completeness and incompleteness›Arithmetic›ZW-ARITHMETIC-004
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AreaLogicTopicCompleteness and incompleteness
Propositional logic11
  • Proposition
  • Logical operator
  • Negation
  • Conjunction
  • Disjunction
  • Implication
  • Logical equivalence
  • NAND
  • Truth table
  • Tautology
  • Contradiction
Predicate logic5
  • Predicate
  • Universal quantifier
  • Existential quantifier
  • Negation of quantifiers
  • Order of quantifiers
Proof theory6
  • Axiomatic system
  • Rule of inference
  • Modus ponens
  • Formal proof
  • Consistency
  • Logical completeness
Completeness and incompleteness2
  • Gödel’s incompleteness
  • Arithmetic

Exercise · ZW-ARITHMETIC-004 · ★☆☆ Basic

If a,b ∈ ℤ, then a+b belongs to...

Choose one option.

Show answer
  • A. ℤ

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Review the concept: Arithmetic

Arithmetic studies numbers, their operations and their properties.

\[\mathbb{N},\quad +,\quad \cdot,\quad \le\]

More practice problems: arithmetic

  • ZW-ARITHMETIC-001 Arithmetic mainly studies...
  • ZW-ARITHMETIC-002 Which equality expresses the commutativity of addition?
  • ZW-ARITHMETIC-003 The additive neutral element of the integers is...
  • ZW-ARITHMETIC-005 Which operation is not closed in ℤ?
  • ZW-ARITHMETIC-006 Select operations that are part of elementary arithmetic.
  • ZW-ARITHMETIC-007 Which statement about multiplication of integers is correct?
  • ZW-ARITHMETIC-008 If a≠0 and a divides b, then there is an integer k such that...
  • ZW-ARITHMETIC-009 Select true properties of the usual addition in ℤ.

← ZW-ARITHMETIC-003 ZW-ARITHMETIC-005 →

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