Propositions - Simple and Compound .pptx

Propositional Logic

1. Simple vs compound propositions

2. What is proposition? A proposition is a statement that is either true or false. It expresses a fact or a judgment about something. Propositions can be simple or compound.

3. What is simple proposition? Simple propositions are statements that consist of a single subject and a single predicate. They express a single idea or assertion. For example: "The sky is blue." "Cats are mammals." "Water boils at 100 degrees Celsius."

4. What is compound proposition? Compound propositions are statements formed by combining two or more simple propositions using logical operators such as "and," "or," and "not." These operators create complex relationships between simple propositions. For example: "The sun is shining, and the birds are singing.“ "Either it will rain, or we will go for a picnic.“ "I will study hard, but I may not pass the exam."

5. Comprehension Questions What is a proposition? What are simple propositions, and how are they different from compound propositions? Provide an example of a simple proposition. Provide an example of a compound proposition. How are compound propositions formed?

6. read each statement and determine whether it is a simple or compound proposition The Earth orbits the Sun. Birds can fly. Elephants are mammals and they have trunks. It is raining, and the streets are wet. Plants need sunlight and water to grow.

7. read each statement and determine whether it is a simple or compound proposition I will finish my homework, or I will lose marks. All squares are rectangles, but not all rectangles are squares. The moon is made of cheese. The train arrives at 8:00 PM, or it will be delayed. Roses are red, violets are blue, and sugar is sweet.

8. JOURNAL WRITING Create a compound proposition related to a personal goal or aspiration. Break it down into simple propositions and logical operators.