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14 Proposition

The document outlines the agenda for a logic class which includes describing categorical and hypothetical propositions, illustrating a proposition, and distinguishing between simple and compound propositions. It then provides examples of different types of propositions including categorical, hypothetical, simple, and compound and explains that connectives are used to connect simple propositions using words like "not", "and", "or", "if-then", and "if and only if".

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Geneen Louise
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87 views19 pages

14 Proposition

The document outlines the agenda for a logic class which includes describing categorical and hypothetical propositions, illustrating a proposition, and distinguishing between simple and compound propositions. It then provides examples of different types of propositions including categorical, hypothetical, simple, and compound and explains that connectives are used to connect simple propositions using words like "not", "and", "or", "if-then", and "if and only if".

Uploaded by

Geneen Louise
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Week 14 | 2nd Quarter │ A.Y.

2020-2021
01 03
AGENDA

DESCRIBE DIFFERENTIATE
the nature of logic between categorical
proposition and
hypothetical
proposition

02 04
ILLUSTRATE DISTINGUISH
a proposition simple proposition
from compound
proposition
1) Online classes are a great opportunity for me to challenge
TRUE OR FALSE
myself and hone my time management skills.

2) Ms. Izzy’s most useless purchase are her funkopops.

3) General Mathematics is the study of human skeletons.

4) The moon is in the shape of a circle.


is the study of formal reasoning
based upon statements or propositions. It
was devised to formalize precise facts and
correct reasoning.
All math teachers know how to solve for 1 + 1.
No math teachers are ballerinas.
Therefore, no ballerinas know how to solve for 1 + 1.
LOGIC

All animals are living things.


Some animals are four-legged.
Therefore, some four-legged animals are living things.
PROFILE
PROPOSITIONS
: Manila is the capital of the Philippines.
CUSTOMER

: 12 + 8 = 21

: Ms. Izzy is your General Mathematics teacher.

: I don’t work here, Karen!

: Are you one of my students in my Mathematics class?

: If you don’t live here, then please don’t park here.


CUSTOMER PROFILE
PROPOSITIONS
PROPOSITIONS
CATEGORICAL
PROPOSITIONS
HYPOTHETICAL
PROFILE
PROPOSITIONS
CUSTOMER

SIMPLE SIMPLE
COMPOUND COMPOUND
PROPOSITIONS

- A declarative statement which contains only


one functional idea and no connectives.
PROPOSITIONS

- A declarative statement which contains two functional


ideas that are either related or unrelated and with logical
connectives.
TRY IT YOURSELF!

1. Some activists are good leaders. Categorical

2. Either you go to Japan or Korea. Hypothetical

3. Sandra is a nurse if and only if


Hypothetical
she knows how to take care of the
sick.
Hypothetical
4. If x = 5, then 2x = 10.
Not a proposition
5. Wake up!

6. Larry will play basketball in a Categorical


tournament.
TRY IT YOURSELF!

1. Some activists are good leaders. Categorical


Simple
2. Either you go to Japan or Korea. Hypothetical
Compound
3. Sandra is a nurse if and only if
Hypothetical
she knows how to take care of the Compound
sick.
Hypothetical
4. If x = 5, then 2x = 10. Compound
Not a proposition
5. Wake up! Not a proposition

6. Larry will play basketball in a Categorical


tournament. Simple
are used to connect simple propositions.
It uses connectors like...
“not”
“and”
“or”
“if-then”
“if and only if”
FUTURE
CONNECTIVES
PROJECTS
FUTURE
CONNECTIVES
PROJECTS
FUTURE
CONNECTIVES
PROJECTS

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