The systematic study through observation and experimentation. It is the building and organizing of knowledge by following the scientific method.
Branches of Science
Formal science
Social science
Natural science
Formal science
Deals with abstract structures in formal systems, including mathematics and logic
Social science
Deals with human behavior around its social and cultural aspects
Natural science
Studies natural phenomena using empirical evidence. It can be further divided into life science (biology) and physical science (physics, chemistry, astronomy, earth science)
Pure science
The aforementioned branches of science
Applied science
The application of scientific knowledge for practical use
Research
The act of systematically studying to find answers to a scientific problem, undertaken to build science by increasing its stock of knowledge
Induction
A reasoning process where a specific observation is used to make a general claim. It is mainly used to make theories and is called the bottom-up approach.
Deduction
A reasoning process where general premises are used to make specific conclusions. It is mainly used to test theories and is called the top-down approach.
The Scientific Method
1. Identify the problem
2. Make observations
3. State the hypothesis
4. Test the hypothesis (experiment)
5. Analyze and interpret resulting data
6. Draw conclusions
Experiment
A controlled investigation of natural phenomena where all factors are kept the same except for the one being tested (independent variable). The resulting variable (dependent variable) is measured.
Hypothesis
An educated guess that should answer the identified problem
Alternative hypothesis
The hypothesis of interest, stating there is a significant relationship between variables
Null hypothesis
States there is no significant relationship between variables
Theory
A well-supported, testable explanation of natural phenomena
Scientific law
A statement that describes or predicts an observed natural phenomenon
Axiom
A statement which everyone agrees is true, also called a postulate in mathematical context
Method
A systematic process of performing a scientific task, such as conducting research
Pseudoscience
An approach to gathering knowledge that claims to be scientific, but violates tenets of science
Paradigm
A framework of thoughts from which reality is interpreted
Measurement Errors
Difference between the measured and the actual values
Types of measurement errors
Systematic errors
Negligent errors
Random errors
Systematic errors
Errors caused by a predictable cause, therefore consistent
Negligent errors
Also called gross errors, happen when the operator of the measuring device is at fault
Random errors
Often fleeting, may not be attributed to a singular cause
Absolute error
Difference between the measured value and the actual value
Relative error
Ratio of the absolute error to the expected value
Percent error
Percentage form of relative error
Accurate measurements
Close to the true value
Precise measurements
Close to each other, can be replicated repeatedly
Significant figures
Number of digits in the result that are known with some degree of reliability
Rules for determining significant figures
All nonzero digits are significant
Zeros between nonzero digits are significant
Zeros before nonzero digits at the start are not significant
Zeros after nonzero digits at the end with decimal are significant
Zeros after nonzero digits at the end without decimal may be significant
Scientific notation
Used for writing very large or very small numbers
Absolute uncertainty
Indicated by 'plus-minus' sign, with uncertainty value affixed
Relative uncertainty
Indicated as percent error
Time zones
One-hour differences between places in different zones of the globe, divided by longitudes
Greenwich Time Zone (UTC)
Reference time zone, other places defined by offset hours from UTC