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your line of reasoning should always be
clear and intelligible
you should look for information that is
accurate and opposes your position
implications
claims that logically follow other claims
premises
statements that provide reasons to support an argument
types of premises
logical statements, empirical (sensory experience) data, statistical data, etc
conclusion
statement your reasons are supporting, the conclusion you are arguing for
words to identify premises
because, since, given that, for, on the grounds that, this follows from, assuming that, for the reason that
words to identify the conclusion
therefore, thus, hence, so, consequently, this shows, as a result, it follows that
indicator words
because, since, so
have many uses, so don’t always indicate premises
what kind of words should you avoid using to remain clear in your arguments
abstract, vauge, and general terms
flowery or metaphorical language
if your premises are weak…
then your conclusion is weak
what should you not rely on in arguments
overtones, hidden meanings, emotion
fallacy
erroneous reasoning “trick” used while persuading someone
ad hominem
attack or insult on the person rather than their reasons
slippery slope
assumed one event will create an undesireable chain of events, even if it’s unrealistic
equivocation
key word or phrase with two meanins is used so the argument fails to make sense when shifts in meaning is recognized
Ad Populum
justifying a claim by appealing to large groups of people with something in common
Appeal to Questionable Authority
supporting a conclusion by citing an authority with a lack of credible expertise
Appeals to Emotion
using emotionally charged language to distract from relevant reasons and evidence
Straw man
distorting opponents POV so it is easy to attack
False Dilemma/Either-Or Fallacy
assuming only two alternatives can exist when there are more than two
Wishful thinking
assuming that just because we wish something is true/false, then it is
Red Herring
presenting an irrelevant topic to divert attention from the issue and help “win” by distracting from what is being actually argued
Begging the Question/Circular Reasoning
argument where conclusion is assumed in the answer
when is an argument valid
if the truth of the premises logically guarantees the truth of the conclusion
can a valid argument have a false conclusion?
yes, as long as the conclusion follows the premises
when is an argument sound
if it is both valid and all the premises are actually true
Modus Ponens form
if P then Q
P
Therefore Q
Modus Tollens form
If P then Q
not Q
Therefore not P
Hypothetical Syllogisms
If P then Q
If Q then R
Therefore, if P then R
Disjunctive Syllogism
P or Q
Not P
Therefore, Q
Dilemma form
P or Q
If P then R
If Q then S
Therefore, R or S
Reductio Ad Absurdum
To prove: P
Assume the opposite: not P
Argue that from the assumption we’d have to conclude: Q
Show that Q is false
Conclude: P is true after all
What does inductive reasoning aim at
probability, not certainty
inductive reasoning within conclusions (phrases)
it is likely that, it is reasonable to conclude that, it is probable that
inductive reasoning within premises (phrases)
it is reasonable to think that, it is likely, generally, statistically
Types of inductive arguments
predictions
retrodictions (predictions abt past based on current info)
analogies
statistical reasoning
causal reasoning/explanations
what role does validity/invalidity play in inductive reasoning?
validity/invalidity is inappropriate with induction
cannot supply conclusive reasonings or aim conclusiveness
same with soundness/unsoundness
how is inductive reasoning evaluated?
evaluated for strength or weakness
when is an inductive argument strong
if the conclusion is probably true based on given premises
when is an inductive argument cogent
if it is strong and al the premises are true
inductive arguments are strong to the degree to which the evidence…
is relevant to the truth of the conclusion and increases the likelihood that the conclusion is true
what should an argument be to avoid confusion
precise and clear
does an argumentative essay have to have a typical 5-paragraph structure?
no, the intro, body, and conclusion taught in high school does not adequately respond to an argument at hand
basic argumentative essay structure
introduction (written LAST)
subclaim 1…n.
counterarguments to subclaims 1…n.
rebuttals to counterarguments 1…n.
conclusion
virtues
stable habits of choosing and acting well
virtue ethics (in teaching)
focus is on character and judgement
habits built on fairness, patience, and practical wisdom
might have incosistent standards
utilitarianism (in teaching)
focus is on consequences
practices improve learning and welfare
risks treating students as numbers or justifying harmful means
deontology
focus is on duties and respect
protects dignity, consistency, and autonomy
risks following rules mechanically or ignoring context
teachers role in the classroom
subject expert (knows field)
designs learning (practice, examples, feedback)
fair authority (visible expectations and consistent evaluation)
steward of class (creates conditions to participate)
students role in classroom
agent (comes prepared, asks questions)
participant (contributes)
critical thinker (evaluates claims, doesn’t rely on outside sources)
responsible adult (communicates, follows course commitments)
what 5 things make a professor effective?
clarity
challenge
feedback
responsiveness
reflection
information delivery alone
accurate lectures and readings, content is covered, little attention to misunderstanding or failure
ethically responsible teaching
accurate info and structured practice, feedback, attention to confusion, support with student agency
paternalism
professor decides what students need without listening to them
favoritism
warmth or flexibility follows personal preference rather than fair criteria
lowered standards
concern becomes avoidance of honest evaluation
emotional overreach
professional support becomes personal dependency
when does care become ethically meaningful?
when students can recognize it in the professors actions (observable care)
relativism
right and wrong depend on beliefs held by society
denies the objective truth of any ethical theory
subjectivism
extreme form of relativism, says the individual makes their own moral decisions
consequentialism
what makes an action right or wrong depends on its results
things that make people better off are morally good, and things that make people worse off are morally bad
calculate the likely effects of actions and pick the one that will produce the best results
ethical egosim
an action is morally right if it benefits you and wrong if it harms you
promoting your welfare does not mean you should give in to momentary pleasures. focus is on long-term self-interests
utilitarianism
an action is morally right to the extent that it increase overall well-being and is morally wrong to the extent it decreases overall well-being
type of consequentialist theory
overall refers to everyone likely to be effected
greatest amount of happiness for greatest number of people (leaves out minorities!)
non-consequentialism
the results produced by an action have nothing to do with its rightness or wrongness, an action is morally right if it is consistent with the moral law
says we have certain moral duties that we must perform regardless of their consequences
this is also deontology
includes the hypothetical and categorical imperative
hypothetical imperative
everyday ethical choices
categorical imperative
universalizability principle - ask yourself what would happen if everyone did what you were about to do all the time
the humanity formulation - treat humanity as an end, never merely a means (never use anyone as a tool, respect them as free thinking)