Empirical and Deductive Reasoning
Empirical and Deductive Reasoning (FD-EDR) is one of the six Foundational Disciplines that are part of the WCAS bachelor's degree.
We learn about the world in two main ways: empirically, from observations, and by making logical deductions from what we already know or conjecture. Courses in this discipline teach students to use these two modes of inference.
Empirical conclusions, derived from observations about the world, come with uncertainties or probabilities. Courses in empirical reasoning teach students to apply statistical reasoning to interpret evidence, to estimate the uncertainties inherent in their conclusions, and to build theoretical models based on data.
We also reason by deduction from axioms we take as certain, or from conjectural models of the real world. Courses in this discipline teach students both the power and limitations of such formal reasoning. Students will learn to create and analyze chains of mathematical or logical deductions, or computational algorithms.
Learning objectives for FD-EDR
Courses in Empirical and Deductive Reasoning are designed to achieve a combination of the following learning outcomes:
- Recognize empirical versus deductive modes of inference
- Articulate the power and the limitations of statistical reasoning, including the quantification of uncertainties in data
- Recognize the dangers of reasoning biases, including conclusions from anecdotal evidence, and the limits of when causal claims can be made from correlational data
- Learn to create and analyze formal models of real world phenomena
- Appreciate the power of abstraction in applying similar formal constructs to a range of different problems
- Learn to clearly and persuasively communicate both empirical and logical arguments, via writing, presentation, and graphical formats
FD-EDR Courses
Courses approved for the 2024-2025 academic year.
Course | Title |
---|---|
BIOL_SCI 337-0 | Biostatistics |
BIOL_SCI 338-0 | Modeling Biological Dynamics |
COG_SCI 202-0 | Evaluating Evidence |
COMP_SCI 110-0 | Introduction to Computer Programming |
COMP_SCI 111-0 | Fundamentals of Computer Programming |
COMP_SCI 150-0 | Fundamentals of Computer Programming 1.5 |
EARTH 361-0 | Scientific Programming in Python |
LING 260-0 | Formal Analysis of Words & Sentences |
LING 270-0 | Meaning |
LING 330-0 | Research Methods in Linguistics |
LING 334-0 | Introduction to Computational Linguistics |
MATH 100-0 | Quantitative Reasoning |
MATH 202-0 | Finite Mathematics |
MATH 211-0 | Short Course in Calculus |
MATH 218-1 | Single-Variable Calculus with Precalculus |
MATH 218-2 | Single-Variable Calculus with Precalculus |
MATH 218-3 | Single-Variable Calculus with Precalculus |
MATH 220-1 | Single-Variable Differential Calculus |
MATH 220-2 | Single-Variable Integral Calculus |
MATH 226-0 | Sequences and Series |
MATH 228-1 | Multivariable Differential Calculus for Engineering |
MATH 228-2 | Multivariable Integral Calculus for Engineering |
MATH 230-1 | Multivariable Differential Calculus |
MATH 230-2 | Multivariable Integral Calculus |
MATH 235-0 | Series and Multiple Integrals |
MATH 240-0 | Linear Algebra |
MATH 250-0 | Elementary Differential Equations |
MATH 281-1 | Accelerated Mathematics for ISP: First Year |
MATH 281-2 | Accelerated Mathematics for ISP: First Year |
MATH 281-3 | Accelerated Mathematics for ISP: First Year |
MATH 285-1 | Accelerated Mathematics for MMSS |
MATH 285-2 | Accelerated Mathematics for MMSS |
MATH 285-3 | Accelerated Mathematics for MMSS |
MATH 290-1 | MENU: Linear Algebra and Multivariable Calculus |
MATH 290-2 | MENU: Linear Algebra and Multivariable Calculus |
MATH 290-3 | MENU: Linear Algebra and Multivariable Calculus |
MATH 291-1 | MENU: Intensive Linear Algebra and Multivariable Calculus |
MATH 291-2 | MENU: Intensive Linear Algebra and Multivariable Calculus |
MATH 291-3 | MENU: Intensive Linear Algebra and Multivariable Calculus |
PHIL 150-0 | Elementary Logic I |
PHIL 250-0 | Elementary Logic II |
POLI_SCI 210-0 | Introduction to Empirical Methods in Political Science |
POLI_SCI 212-0 | Evaluating Evidence |
POLI_SCI 312-0 | Statistical Research Methods |
PSYCH 201-0 | Statistical Methods in Psychology |
PSYCH 205-0 | Research Methods in Psychology |
PSYCH 333-0 | Psychology of Thinking |
SOCIOL 303-0 | Analysis and Interpretation of Social Data |
STAT 201-0 | Introduction to Programming for Data Science |
STAT 202-0 | Introduction to Statistics and Data Science |
STAT 210-0 | Introduction to Probability and Statistics |
STAT 228-0 | Series and Multiple Integrals |