Logic test 1
arguments 2 parts
1- one or more statement (premises) offering evidence in support of the truth (conclusion) 2- The conclusion whose truth is said to be supported by the presmise
Are some deductive arguments have true premises and yet be invalid
A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.
are some deductive arguments are invalid and yet have a true concision
A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.
Syllogism
A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion.
Can an argument be true or false?
Arguments are NOT true/false; they are valid or sound.
can an argement be invalid but still have a true conclusion
FALSE: It is possible for an invalid argument to have all true premises and a true conclusion.
defintion of declarative sentence
expresses a claim thats either true or false
defintion- exclamatory sentence
expresses an emotion or feeling not T/F
Can an invalid argument contain true premises
f an argument is invalid, then it must have at least one false premise. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid. Some invalid arguments have true premises and a true conclusion.
implication
if frist is true then second is true
logiclly inconsitant
if it not possible they are all true
what is a premise
indicators
sound argument
is argument that is valid and whose premises are all true
hypothesis testing
make and test an educated guess about a problem/solution
what are the common deductive forms
math and defintional
inductive logic
method for evaluation inductive reasoning
generalization from a sample
premises present in formation about a sample of algae group
defintion- interrogatory sentence
questions, not true or false
defintion of inductive reasoning
shows NOT that the conclusion is True
defintion of deductive reasoning
shows conclsuion must be TRUE
What is a non-argument?
stories, questions, commands
cogent agrument
strong and prem are all true
Defintion Argument
termed used in logic, genrally is reasoning that has been put into words
contingent statement
truth or false depending on its cogent changing circumstances
definition- performative sentence
use an action not T/F
can an valid argument have false premises
valid argument can have false premises; and it can have a false conclusion. But if a valid argument has all true premises, then it must have a true conclusion. ... Since a sound argument is valid, it is such that if all the premises are true then the conclusion must be true.
Modus Ponens
If A, then B A Therefore, B
Modus Tollens
If P then Q Not Q Therefore not P
Can a valid argument have a false conclusion?
If a valid argument has a false conclusion, then at least one premise must be false
all invalid arguments have false premise
If an argument is invalid, then it must have at least one false premise. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid. Some invalid arguments have true premises and a true conclusion.
Can an invalid argument have true premises
So if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false. ... If an invalid argument has all true premises, then the conclusion must be false
can an invalid argument have a true conclusion
So if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false. ... If an invalid argument has all true premises, then the conclusion must be false. FALSE: It is possible for an invalid argument to have all true premises and a true conclusion.
are some sound arguments have false premises
TRUE: A valid argument cannot have all true premises and a false conclusion.
can a deductive argument have false premises and a false conclusion and be valid nether-less
TRUE: A valid argument cannot have all true premises and a false conclusion. So if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false
are some arguments have true premises and are also valid
TRUE: A valid argument cannot possibly have all true premises and a false conclusion
all sound arguments have true premises and are also valid
TRUE: If an argument is sound, then it is valid and has all true premises.
analogical argument
The argument lists the characteristics that two (or more) things have in common and concludes that the things being compared probably have some other characteristic in common
prediction agrument
a claim about the duture is made based upon facts from past
unsound argument
a deductive argument that is invalid, has one or more false premises, or both
Disjunctive Syllogism
a syllogism in which the major premise includes two or more mutually exclusive alternatives
what is categorial syllogism
always a sentence, that relate 2 categories of things by assuming that, all, non or some of 1 categories
logical consistancy
any possibility no matter how unlikely, remote, or improbable that they are true
defintion- imperative sentence
commands true or false, not declarative
agrument from authority
concludes something that is true on the grounds that an authority on the matters say its true
Hypothetical Syllogism
conditional, "if P then Q"