Exercise 1.2.2: Translating English statements into logic. About Express each statement in logic using the variables: p: It is windy. q: It is cold. r: It is raining. (a) It is windy and cold. (b) It is windy but not cold. (c) It is not true that it is windy or cold. (d) It is raining and it is windy or cold. (e) It is raining and windy or it is cold. (f) It is raining and windy but it is not cold.

Explanation:

Note, the symbol ∧ is the and conjunction and is used when all the statements (eg A and B) are true. While ∨ is the disjunction symbol, it is used when any one of the statements (A or B) is true, or both statements are true.

a) p ∧ q

b) p ∧ -q

c) (p ∨ q)

d)  r ∧ (p ∨ q)

e) (r ∧ p) ∧ q

f)  (r ∧ p) -q

explanation:

related words: : : : : : :

administration noun

the government of a country

affairs

events and activities relating to the government, politics, economy, etc. of a country, region, or the world

the corridors (of power)

the places where people use their political influence and major political decisions are made

government

the process, method, or effects of governing

play politics

to use politics for your own reasons, without caring about the effects on other people

political

relating to politics

political

interested or involved in politics

politically

in a political way

politicize

to bring an issue, organization, way of doing something, etc. to the attention of the public so that it can be discussed

politicize

to make someone more interested and involved in politics

politicking

political activity by someone who is only interested in doing things for their own advantage, not in other people

politics

the ideas and activities involved in getting power in a country or over a particular area of the world

politics

the profession of being a politician

politics

the ideas and activities used by people within a particular group to try to get power

public affairs

political issues that affect most people

public life

work that involves being known to a lot of people, especially in politics, but also in religion and education

public office

a job in the government that you have because you were chosen or elected

public service

work or important positions in the government, or in organizations controlled by the government

representation

in politics, the job of officially people and making decisions for them

sociopolitical

involving a combination of social and political matters

state

the government of a country

b

explanation: