Propositions and Logical Connectors

It is a declarative sentence that is either true or false, but not both

• Logical Connectors

• SImple Propositions

• Compound Propositions

• Propositions

It is a proposition that cannot be broken down into more than one proposition

• Proposition

• Simple Proposition

• Compound Propositions

• Logical Connectors

Which of the following is an example of simple propositions?

• If an individual is great, then there is a teacher behind.

• Either a person saves before spending, or one spends before saving.

• It is not a shame to greet the utility worker the same way as with

  the school principal.

• Grounding is beneficial to a person.

Which of the following is the correct logical connector in this below proposition? y: A person is disabled, z: A person is entitled to obtain a PWD ID

• y or z

• not z

• If y then x

• If y then z or If z then y

A proposition p is denoted by ~p which is read as “not p”, and is defined through its truth table.

• Negation

• Conjunction

• Conditional

• Biconditional

A propositions p and q which is denoted by 𝑝 ∧ 𝑞 and read as “p and q”, and is defined through its truth table

• Disjunction

• Conjunction

• Conditional

• Biconditional

A propositions p and q is denoted by 𝑝 ∨ 𝑞 which read as “𝑝 𝑜𝑟 𝑞”, and defined through its truth table

• Conjunctions

• Conditional

• Biconditional

• Disjunctions

Which of the following statements about conditional statement is always TRUE?

• Proposition p is called a Hypothesis, while proposition q is called Conclusion

• Proposition p is called conclusion, while proposition q is called hypothesis

• Proposition p is called a component, while proposition q is called connector

• Proposition p is called a connector, while proposition q is called component

Which of the following is an example of biconditional propositions?

• If dioxins are found almost everywhere, then they are culprits to many diseases.

• If parabens are harmful to the body and are found in many products we use, then they can affect health.

• If plastics, bleached paper and most commodities do not contain the chemical dioxin, then it is not true that dioxins are found almost everywhere and it is not true that dioxins are a culprit to many diseases.

• Only physically handicapped individuals can be called persons with disabilities and psychosocially disabled persons like those with chronic illnesses cannot avail of PWD ID if and only if it is not true that knowledge on the wide extent of who a PWD is has yet to be spread.

What is the logical symbol used in biconditional propositions?

• v

• ∧

• ↔

• →