## Extending Mechanics to Minds: The Mechanical Foundations of Psychology and EconomicsThis book deploys the mathematical axioms of modern rational mechanics to understand minds as mechanical systems that exhibit actual, not metaphorical, forces, inertia, and motion. Using precise mental models developed in artificial intelligence the author analyzes motivation, attention, reasoning, learning, and communication in mechanical terms. These analyses provide psychology and economics with new characterizations of bounded rationality; provide mechanics with new types of materials exhibiting the constitutive kinematic and dynamic properties characteristic of different kinds of minds; and provide philosophy with a rigorous theory of hybrid systems combining discrete and continuous mechanical quantities. The resulting mechanical reintegration of the physical sciences that characterize human bodies and the mental sciences that characterize human minds opens traditional philosophical and modern computational questions to new paths of technical analysis. |

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### Contents

sort of summary characterizations But some such summaries take the | 42 |

3 | 47 |

weather one can expect that physics would have been much | 49 |

Although the theory of rational decisions provides some glue to | 51 |

years have seen attempts to understand the mind by making | 53 |

theoretical atoms underlies many ideas in empiricism and philosophy of | 57 |

quantitative laws that govern the abstract process of computing which | 68 |

4 | 71 |

10 | 251 |

xt1 | 262 |

elements represents the mass itself which tradition conceives of as | 265 |

a single dimension Rotating the frame preserves the dimensionality of | 266 |

106 Force | 268 |

11 | 276 |

112 Reasoned positions | 281 |

This yields a velocity of | 283 |

for conceptspervasivein everydaydiscourse aboutpsychologyand economics | 74 |

supplying additional rules for changes of coordinates In practical | 78 |

5 | 88 |

dvw | 106 |

545 Extensions | 119 |

instantaneous global states that do not also constitute proper instantaneous | 125 |

6 | 135 |

7 | 173 |

predictions in a deterministic world With determinism in each situation | 179 |

indeed since some live without ﬁre and not all mothers | 185 |

data through it to ﬁnd the matches For other purposes | 187 |

8 | 225 |

81 What is plural discrete affective cognition? | 226 |

Even in the context of our hybrid and discrete mechanical | 228 |

one of setting out or specifying forces and masses corresponding | 230 |

9 | 241 |

Agent Interior AI | 243 |

Another path for investigation might regard reason tensors as proper | 291 |

12 | 295 |

forces Classifying external forces as body or contact usually poses | 315 |

13 | 326 |

14 | 346 |

probabilities is attractively frame independent Because the objects assigned | 349 |

small ﬂuctuations can produce large changes in probabilities Ease of | 360 |

15 | 373 |

an alternative term for the activity of the brain or | 374 |

alternative explanations Without some stopping criterion that recognizes the | 376 |

16 | 379 |

17 | 392 |

The importance of the class of things computable by Turing | 394 |

18 | 399 |

19 | 407 |

cannot yet expect such an improvement to remove many of | 411 |

things that satisfy or fail to satisfy them When this | 412 |

### Common terms and phrases

action agent algebraic applied artiﬁcial intelligence assumptions attitudes axiomatic axioms behavior belief body points Boolean lattice changes characterize commutative ring component computation concepts conﬁguration conﬂicting conservatism conservative consider consists constitute continuous continuum mechanics corresponding deﬁne deﬁnition determinism deterministic differentiable manifold difﬁculty discrete mechanics discrete topology Doyle elements energy equations Euclidean example exhibit ﬁeld ﬁnd ﬁnite ﬁrst ﬁxed formal frame indifference free module function Hamiltonian homeomorphisms hybrid mechanics identiﬁed inﬁnite inner product instant intentions interpretation involve isometries kinematic laws linear logical machines manifold mass values materials mathematical means measure mental metric mind models momentum motion Noll Noll’s numbers Peano arithmetic physical placement position possible psychology psychology and economics quantities quantum mechanics rationality reasons reﬂect regard relation represent requires satisﬁes scalar scientiﬁc spatial speciﬁc structure tensor theory tion topology traditional mechanics translation space Truesdell Turing Turing machines vector space velocity xt+1

### Popular passages

Page 18 - ... we learn that we are spirits, not animals, and that something is going on in space and time, and beyond space and time, which, whether we like it or not, spells duty.

Page 1 - Patel-Schneider, P. (Eds.) (2003). The description logic handbook. Theory, implementation and applications. Cambridge, UK: Cambridge Press.