Sufficient assumptions
44 flashcards covering Sufficient assumptions for the LSAT Logical Reasoning section.
A sufficient assumption is a statement that, if true, completely bridges the gap between an argument's premises and its conclusion, making the reasoning logically sound. In other words, it guarantees that the argument holds up without any flaws. For instance, if an argument claims that all students who study hard pass the exam, and you're told a particular student studies hard, a sufficient assumption might confirm that no other factors prevent passing. This concept is key in evaluating arguments, as it helps identify what's needed to make an inference airtight.
On the LSAT, sufficient assumptions show up in Logical Reasoning questions, particularly in those asking you to strengthen an argument or identify a missing piece that validates it. Common traps include selecting answers that are necessary but not sufficient—meaning they support the argument without fully proving it—or overlooking subtle flaws in the reasoning. Focus on analyzing the argument's core structure, spotting gaps between evidence and conclusion, and testing options to see if they make the logic inescapable.
Practice by diagramming arguments to visualize how assumptions connect the pieces.
Terms (44)
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Sufficient Assumption
A sufficient assumption is a statement that, if true, guarantees the conclusion of an argument follows logically from the premises, making the argument valid without any gaps.
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Necessary vs. Sufficient Assumption
A necessary assumption must be true for the argument to hold, while a sufficient assumption alone makes the argument valid; on the LSAT, sufficient assumptions fully bridge the gap between premises and conclusion.
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Sufficient Condition
A sufficient condition is an event or fact that, if it occurs, ensures another event or fact happens, as in 'If A, then B,' where A is sufficient for B.
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Indicator Words for Sufficient Conditions
Words like 'if,' 'when,' 'whenever,' and 'all' often signal sufficient conditions in LSAT arguments, indicating that one thing guarantees another.
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Strengthening an Argument with Sufficient Assumptions
On the LSAT, identifying a sufficient assumption strengthens an argument by providing a premise that directly links the evidence to the conclusion, eliminating any logical gaps.
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Contrapositives in Sufficient Assumptions
The contrapositive of a sufficient assumption, such as reversing and negating 'If A, then B' to 'If not B, then not A,' can help verify if the assumption makes the argument valid.
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Diagramming Sufficient Assumptions
Diagramming involves using arrows to represent sufficient assumptions, like A → B, to visualize how premises lead to the conclusion in LSAT logical reasoning questions.
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Common Traps in Sufficient Assumptions
A common trap is confusing a sufficient assumption with a necessary one, leading to incorrect answers on the LSAT by over- or under-estimating what fully supports the argument.
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Sufficient Assumption Question Stem
A question stem might ask, 'Which of the following, if assumed, would provide a sufficient condition for the conclusion?' requiring you to find an answer that validates the argument.
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Evaluating Argument Validity with Sufficient Assumptions
To evaluate validity, check if a sufficient assumption connects the premises directly to the conclusion, ensuring no unstated elements are needed on the LSAT.
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Sufficient Assumptions in Flaw Questions
In flaw questions, a sufficient assumption might hide the error in reasoning, so identifying it helps reveal why the argument fails on the LSAT.
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Multiple Sufficient Conditions
An argument may involve multiple sufficient conditions, where each one independently guarantees the conclusion, adding complexity to LSAT questions.
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Sufficient Assumptions and Counterexamples
A sufficient assumption prevents counterexamples by making the argument airtight, so on the LSAT, it eliminates scenarios that would undermine the conclusion.
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Sufficient vs. Necessary Indicators
Sufficient indicators include 'if' and 'all,' while necessary ones include 'only if' and 'must,' and mixing them up can lead to errors on LSAT assumption questions.
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Strategy for Answering Sufficient Assumption Questions
Predict the gap in the argument first, then look for an answer that fills it completely, ensuring it's sufficient rather than just helpful on the LSAT.
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Sufficient Assumptions in Conditional Chains
In chains like 'If A, then B, and if B, then C,' a sufficient assumption might link the start to the end, as seen in more advanced LSAT problems.
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Testing Sufficient Assumptions with Hypotheticals
To test if an assumption is sufficient, imagine it as true and see if the argument holds; if it does, it's likely the correct choice on the LSAT.
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Sufficient Assumptions and Scope
Ensure the sufficient assumption matches the argument's scope exactly, avoiding answers that are too broad or narrow, which is crucial on the LSAT.
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Common Errors in Identifying Sufficient Assumptions
One error is selecting an answer that only partially supports the argument, rather than fully guaranteeing the conclusion, as often tested on the LSAT.
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Sufficient Assumptions in Real-World Arguments
On the LSAT, arguments might draw from everyday scenarios, like policy debates, where a sufficient assumption bridges evidence to a policy recommendation.
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Advanced: Nested Sufficient Assumptions
In complex arguments, nested assumptions involve layers where one sufficient condition depends on another, requiring careful analysis on harder LSAT questions.
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Sufficient Assumptions and Logical Gaps
A sufficient assumption directly fills logical gaps, such as unstated connections between cause and effect, making the argument sound on the LSAT.
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Eliminating Wrong Answers in Sufficient Questions
Wrong answers often provide necessary but not sufficient assumptions, so eliminate them by checking if they fully validate the argument on the LSAT.
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Sufficient Assumptions in Analogy Arguments
In arguments using analogies, a sufficient assumption might confirm that the compared situations are identical in relevant ways, as seen on the LSAT.
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Quantifiers in Sufficient Assumptions
Words like 'all,' 'some,' or 'none' in assumptions affect sufficiency; for example, 'all A are B' is sufficient if the argument requires that level of generality.
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Sufficient Assumptions and Causation
A sufficient assumption might establish that one event causes another, turning a correlation into a valid causal claim in LSAT arguments.
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Predicting Sufficient Answers
Before reviewing choices, predict what would make the argument work, then match it to a sufficient option, a key strategy for LSAT efficiency.
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Sufficient Assumptions in Principle Questions
In questions involving principles, a sufficient assumption applies the principle directly to the situation, ensuring the conclusion follows on the LSAT.
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Overlooking Implicit Sufficient Assumptions
Sometimes arguments have implicit sufficient elements; missing them can lead to incorrect identifications in LSAT logical reasoning.
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Sufficient Assumptions and Exceptions
A sufficient assumption must account for no exceptions, meaning it covers all cases in the argument without loopholes on the LSAT.
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Balancing Sufficient and Necessary in Questions
LSAT questions may mix both types, so recognize when an answer is only necessary and not sufficient for the argument's validity.
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Sufficient Assumptions in Statistical Arguments
In stats-based arguments, a sufficient assumption might confirm that the sample represents the population, making the generalization valid.
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Time-Saving Tips for Sufficient Questions
Quickly diagram the argument to spot the sufficient link, saving time on the LSAT by focusing on core relationships.
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Sufficient Assumptions in Ethical Arguments
Ethical debates on the LSAT might require a sufficient assumption to link moral principles to specific actions or outcomes.
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Advanced: Sufficient Assumptions with Variables
In abstract arguments, variables like X and Y represent elements, and a sufficient assumption defines their relationship to validate the conclusion.
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Sufficient Assumptions and Rebuttals
A sufficient assumption can counter potential rebuttals, strengthening the argument against objections on the LSAT.
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Identifying Red Herrings in Sufficient Questions
Red herrings are answers that seem related but don't provide sufficiency, so ignore them to find the correct LSAT choice.
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Sufficient Assumptions in Historical Contexts
Arguments about history might need a sufficient assumption to connect past events to current implications, as tested on the LSAT.
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Sufficient Assumptions and Definitions
Sometimes, a sufficient assumption clarifies key terms, ensuring the argument's terms are used consistently throughout.
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Layered Arguments and Sufficient Links
In arguments with multiple layers, a sufficient assumption connects sub-arguments to the main conclusion effectively on the LSAT.
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Sufficient Assumptions in Science Passages
Scientific arguments may require a sufficient assumption to extrapolate from experiments to broader theories on the LSAT.
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Avoiding Assumption Overreach
Ensure the sufficient assumption doesn't introduce new elements beyond the argument's scope, which could invalidate it on the LSAT.
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Sufficient Assumptions in Policy Debates
A sufficient assumption might confirm that a proposed policy will achieve its intended results without unintended consequences.
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Testing Assumptions with Negation
Negating a sufficient assumption should make the argument fail, helping to verify its role in LSAT questions.