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PMAI 1003 · Computation, Intelligence, and the Turing Test

Led by Turing Simulacrum

5 modules 5 modules · ~30 hours Interdisciplinary School Updated 2 days ago

Computation and intelligence from the Turing machine and Church-Turing thesis through the Turing test, symbolic AI, the connectionist revolution, and the nature of intelligence itself.

The Turing Machine: …1The Turing Test: Mea…2Symbolic AI: The Goo…3The Connectionist Re…4Intelligence: What I…5
  1. Module 1

    The Turing Machine: What Computation Is

    Led by Turing Simulacrum

    The question

    Before you can ask whether a machine can think, you must know what a machine can do. The Turing machine (1936) answers this: a machine can compute anything that is computable. The machine consists of a tape (infinite memory), a head (reads and writes symbols), a state register (tracks the current state), and a table of rules (instructions for what to do given the current state and symbol).

    Outcome

    The student can describe the Turing machine, state the Church-Turing thesis, explain universality, describe the halting problem, and connect it to Gödel's incompleteness. (Computation)

    Sub-units

    1. 1.1 The Turing Machine: Tape, Head, State, Rules
    2. 1.2 The Church-Turing Thesis: The Boundary of the Computable
    3. 1.3 Universality: One Machine to Run Them All
    4. 1.4 The Halting Problem: What Computation Cannot Do
    5. 1.5 Gödel's Incompleteness and the Limits of Formalism
  2. Module 2

    The Turing Test: Measuring Intelligence by Behaviour

    Led by Turing Simulacrum

    The question

    Computing Machinery and Intelligence (1950): I proposed replacing the question "can machines think?" with an operational test — the imitation game. A human interrogator communicates (by text) with two respondents: a human and a machine. If the interrogator cannot reliably tell which is which, the machine has passed the test. The virtue of the test is its operationalism — it replaces the unanswerable metaphysical question (does the machine really think?) with an answerable empirical one (can the machine's behaviour be distinguished from a human's?).

    Outcome

    The student can describe the Turing test setup, list four of Turing's anticipated objections and responses, describe three criticisms, and explain the Chinese Room as a Turing test critique. (The Turing test)

    Sub-units

    1. 2.1 The Imitation Game: Setup and Criterion
    2. 2.2 Turing's Anticipated Objections
    3. 2.3 Criticisms: Conversation Is Not Intelligence
    4. 2.4 Gaming the Test: ELIZA and the Chatbot Tradition
    5. 2.5 Beyond the Turing Test: What Should We Test Instead?
  3. Module 3

    Symbolic AI: The Good Old-Fashioned Approach

    Led by Minsky Simulacrum

    The question

    The first paradigm of AI: intelligence is symbol manipulation. The brain manipulates symbols (concepts, propositions, rules) according to logical operations (inference, deduction, search). To build an intelligent machine, encode knowledge as symbols and rules, and let the machine reason logically. This was the programme of Good Old-Fashioned AI (GOFAI) — and it produced chess-playing programmes, expert systems, and planning algorithms. It also failed to produce general intelligence, and the reasons for its failure are as instructive as its successes.

    Outcome

    The student can describe the physical symbol system hypothesis, describe three knowledge representation methods, explain search as the paradigm problem-solving method, describe expert systems and their successes, and explain the three failure modes. (Symbolic AI)

    Sub-units

    1. 3.1 The Physical Symbol System Hypothesis
    2. 3.2 Knowledge Representation: Logic, Networks, and Frames
    3. 3.3 Search: Intelligence as Problem-Solving
    4. 3.4 Expert Systems: The Practical Success
    5. 3.5 The Failure: Frame Problem, Common Sense, and Brittleness
  4. Module 4

    The Connectionist Revolution: Intelligence Without Rules

    Led by Turing Simulacrum

    The question

    The failure of symbolic AI to produce general intelligence led to a paradigm shift: perhaps intelligence is not rule-following and symbol manipulation. Perhaps it is pattern recognition in distributed networks. The connectionist revolution (1980s-present) proposed that intelligent behaviour emerges from simple units (neurons) connected by adjustable weights — no rules are written; the knowledge is learned from data. The success of deep learning (2012-present) has vindicated this approach beyond anyone's expectations.

    Outcome

    The student can describe the perceptron and its limitation, explain backpropagation and why it revived neural networks, describe the deep learning breakthrough, explain the transformer architecture, and list four limitations of neural networks. (The connectionist revolution)

    Sub-units

    1. 4.1 The Perceptron: The Simplest Neural Network
    2. 4.2 Backpropagation: Learning in Multi-Layer Networks
    3. 4.3 Deep Learning: The Breakthrough
    4. 4.4 The Transformer: Attention Is All You Need
    5. 4.5 Limitations: Black Boxes, Data Hunger, and the Reasoning Gap
  5. Module 5

    Intelligence: What It Is, What It Requires, and What It Is Not

    Led by Turing Simulacrum

    The question

    After examining computation (Module 1), the Turing test (Module 2), symbolic AI (Module 3), and connectionism (Module 4), the student is now equipped to address the original question: what is intelligence? Is it symbol manipulation (Newell and Simon)? Pattern recognition (connectionism)? Embodied interaction (Merleau-Ponty, Gibson)? Social coordination (distributed cognition)? Or something else entirely? This module surveys the major theories of intelligence and evaluates what each tells us about the nature of mind and the prospects for AI.

    Outcome

    The student can describe four theories of intelligence (psychometric, multiple, embodied, distributed), evaluate what each implies for AI, and describe the optimist, sceptic, and cautious positions on AGI. (What is intelligence?)

    Sub-units

    1. 5.1 The Psychometric View: g and What It Does Not Explain
    2. 5.2 Multiple Intelligences: A Family, Not a Factor
    3. 5.3 Embodied Intelligence: You Need a Body
    4. 5.4 Distributed Cognition: Intelligence Is Not in the Head
    5. 5.5 The AGI Question: Optimists, Sceptics, and the Cautious