INTERGER

INTEGER

ANDRES ELIAS LANDERO ZARUR

1. WHAT IS LOGIC?

Mathematical logic is the discipline that deals with reasoning methods. At an elementary level, logic provides rules and techniques for determining whether or not a given argument is valid.

Closed: if the subject is determined. Cedars provide wood. 2-2 = 0 Jean eats an apple and a banana Camila likes those pants. Cristiano plays football very well 12 + 12 = 24 50-4 = 46 5 * 9 = 45 Maria and Carlos work tomorrow Marelvi cooks and eats a lot of food

Compound: if they have mor than one subject, verb and complement. Trees and plankton provide oxygen. (2 * x) - (4 * y) = 4 Jean eats an apple and a banana Me and my brother we like those pants. Cristiano plays soccer and tennis very well (7 * x) + (10 * y) = 24 x-y + 4 = 54 x + y = 45 Maria and Carlos work tomorrow She cooks and eats a lot of food

Simple: if they only have a subject a verb and a complement. Trees provide oxygen. 2 + 2 = 4 Jean eats an apple I like those pants. Cristiano plays football very well 7 + 10 = 17 x + 4 = 54 x + x = 14 Maria works tomorrow She eats a lot of food

Affirmative or Negative: As stated or denied. they do not provide wood. 2-x = 0 he doesn't eat an apple and a banana She doesn't like those pants. they play soccer very well 12 + x = 24 50-y = 46 5 * 9 = x they don't work tomorrow she doesn't cook and eats a lot of food

True or False: depending on whether or not they correspond to reality. Plants do not provide oxygen. 2 + 2 = 0 Monkeys eat a banana She doesn't like those pants. Cristiano is a soccer player 12 + 4 = 24 50-4 = 46 5 * 9 = 10 They don't sell coffee in Colombia Bogota is the capital of Colombia

Open: if the subject is not determined. they provide wood. 2-x = 0 he eats an apple and a banana She likes those pants. they play soccer very well 12 + x = 24 50-y = 46 5 * 9 = x they work tomorrow she cooks and eats a lot of food

- What are logical connectors?

The connectors or logical operators are those that allow to form compound propositions, that is, formed by several propositions.

example

p = I go to Santa Marta q = I have money r = my mother leaves me go. p = q v r

a = I'm hungry b = I cook at home c = I eat outside. a = b v c

p = I go to Santa Marta q = I have money r = my mother leaves me go. p = q ^ r

a = I am hungry b = I cook something now c = I eat nothing. a = b v c

r = Apple is expensiver´ = Apple isn´t expensive

p = pasta is Italianp´ = pasta isn´t Italian

p = I'm going outq = my sister must go r = I won't be able to go out p ^ q v r

a = I go outb = my sister goes out a 🡪 b

a = I am 18 years old b = I can vote a <--> b

p = I try hardq = I pass the exam p 🡪q

- Truth Tables and Conditions for logical connectors (And, Or, Not, If... then) (Provide 10 examples created by the student). The Truth tables must be solved.

p = I go to Santa Martaq = I have money r = my mother leaves me go. p = q ^ r

We take 1 = true and 0 = false

a = I am hungryb = I cook something now c = I eat nothing. a = b v c

a = I'm hungryb = I cook at home c = I eat outside. a = b v c

p = I go to Santa Martaq = I have money r = my mother leaves me go. p = q v r

p = pasta is Italianp´ = pasta isn´t Italian

p = I'm going outq = my sister goes out r = q 🡪 p

r = Apple is expensive r´ = Apple isn´t expensive

p = I eat meat q= my mom cooks a 🡪 b

p = I try hard q = I pass the exam p 🡪q

a = I am 18 years old b = I can vote a <--> b