A hypothesis IS NOT an educated guess. It is an uncertain explanation for an observation, phenomenon, or scientific problem that can be tested by further investigation. Your hypothesis should be something that you can actually test, what’s called a testable hypothesis.

Recall, the Scientific Method is hypothesis-driven; one makes an educated guess to explain a cause-and-effect relationship. Experiments are conducted to test this guess and ultimately answer if the hypothesis is true or false (there is no right or wrong). Design is different from the Scientific Method.

Scientific hypothesis People refer to a trial solution to a problem as a hypothesis, often called an “educated guess” because it provides a suggested outcome based on the evidence.

Terms in this set (14) A_________ is an educated guess about the outcome of an experiment. Hypothesis. Something You observe with your own eyes is called an. Observation. When you explain or make sense of your observations you are making an.

Hypothesis and prediction are both a type of guess. However, the hypothesis is an educated, testable guess in science. A prediction uses observable phenomena to make a future projection.

Scientists discover what happens in our brains when we make educated guesses. The study, published in the scientific journal Cell, also reveals that brain cells can link different memories while we are resting or sleeping, a process that may be important in creativity.

A hypothesis often follows a basic format of “If {this happens} then {this will happen}.” One way to structure your hypothesis is to describe what will happen to the dependent variable if you make changes to the independent variable.

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of “If it rains, then they cancel school” is “If they do not cancel school, then it does not rain.” If the converse is true, then the inverse is also logically true.

: a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them “if not-B then not-A ” is the contrapositive of “if A then B “

Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of “If it is raining then the grass is wet” is “If the grass is not wet then it is not raining.”

In mathematics, proof by contrapositive, or proof by contraposition, is a rule of inference used in proofs, where one infers a conditional statement from its contrapositive. In other words, the conclusion “if A, then B” is inferred by constructing a proof of the claim “if not B, then not A” instead.

And our contrapositive statement would be: “If the grass is NOT wet, then it is NOT raining.” For example, consider the statement, “If it is raining, then the grass is wet” to be TRUE. Then you can assume that the contrapositive statement, “If the grass is NOT wet, then it is NOT raining” is also TRUE.

The contrapositive does always have the same truth value as the conditional. If the conditional is true then the contrapositive is true. A pattern of reaoning is a true assumption if it always lead to a true conclusion.

Proof of negation is an inference rule which explains how to prove a negation:

1. To prove ¬ϕ , assume ϕ and derive absurdity.
2. To prove ϕ , assume ¬ϕ and derive absurdity.
3. “Suppose ϕ . Then … bla … bla … bla, which is a contradiction. QED.”
4. “Suppose ¬ϕ . Then … bla … bla … bla, which is a contradiction. QED.”

A negation is a refusal or denial of something. If your friend thinks you owe him five dollars and you say that you don’t, your statement is a negation. “I didn’t kill the butler” could be a negation, along with “I don’t know where the treasure is.” The act of saying one of these statements is also a negation.

¬