1/25
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No analytics yet
Send a link to your students to track their progress
Necessary Assumption
A key element on which an argument must rely for its conclusion to hold; if false, the argument fails.
Causal Reasoning
Assuming a cause-and-effect relationship based on correlation or temporal order.
The Negation Test
A method to determine if a statement is a necessary assumption by negating it and assessing if the argument collapses.
Sufficient Assumption
A statement that, if added to the premises, guarantees the conclusion follows logically.
Premise vs. Conclusion
Premises provide evidence in an argument, while the conclusion is the claim that the argument seeks to prove.
New Term Gap
When the conclusion introduces an idea not established by the premises, requiring a necessary assumption.
Plans/Policies Assumption
Necessary assumptions related to recommended actions, ensuring they won't backfire and are feasible.
Sampling/Generalization Assumption
Assumption that a sample is representative of a broader group when generalizing from specific observations.
Comparison/Analogy Assumption
Assumption that two things compared are similar in a relevant way to support the argument.
Strength of Language
In sufficient assumptions, strong language can be necessary to ensure the conclusion is guaranteed.
“Must” vs. “Can”
In logical reasoning, necessary assumptions must always be true; sufficient assumptions guarantee action under conditions.
Bridge Metaphor
A useful analogy to understand necessary and sufficient assumptions: necessary are support beams; sufficient provide a complete section.
Identifying Argument Gaps
The skill of pinpointing missing elements in an argument that, if filled, would solidify the reasoning.
Weakening vs. Strengthening
Recognizing what assumptions to strengthen or weaken an argument's conclusion.
Logical Dependence
The relationship where the truth of one statement relies on the presence or absence of another.
Common Fallacies
Mistakes often made, such as confusing necessary assumptions with helpful but non-essential statements.
Combining Assumptions
Recognizing that necessary and sufficient assumptions may require integrating more than one logical step.
Direct Links in Reasoning
In sufficient assumption questions, direct connections between premises and conclusions are often necessary.
Conditional Statements
Many sufficient assumptions hinge on confirming or establishing a conditional relationship between premises and conclusions.
Absolute Guarantees
A defining feature of sufficient assumptions, ensuring the conclusion cannot be false if the assumption holds true.
Mistaken Inference
When a student assumes an argument is valid based on an inference that is not directly supported by the premises.
Causal Confounder
An alternative explanation that may undermine a causal argument; necessary assumptions often rule these out.
Quantifier Awareness
Understanding the significance of terms like 'some,' 'all,' and 'none' when forming assumptions.
Logical Support
The backbone provided by necessary assumptions that underpins the conclusion of an argument.
Anticipating Argument Flaws
The ability to foresee weaknesses in an argument by identifying its necessary assumptions.
Over-Negation
A common mistake where a student negates too strongly, potentially misidentifying necessary assumptions.