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Stanford Encyclopedia of Philosophy

Supplement toComputational Philosophy

Figure descriptions forComputational Philosophy

Figure 1 description

Consists of three graphs labeled a, b, and c. All three diagrams havea y-axis with equidistant labels 0.0, 0.5, and 1.0 and an x-axis witha label at the max of 15 P. Each also starts with horizontal linesranging in color from dark red at 0.0 then red, orange, yellow togreen at 0.5 then blue and purple to violet at 1.0. Diagram a has\(ε = 0.01\) and the lines remain horizontal though thinningout as they approach 15 P. Diagram b has \(ε = 0.15\) and thelines converging to two lines. The upper at about 0.75 and the lowerat about 0.25. Diagram c has \(ε = 0.21\) and the lines firstconverge to three lines (at about 0.3, 0.5, and 0.7) before convergingto one line at about 0.5.

Figure 2 description

A 3-d graph with an x-axis labeledopinion and going from 0to 100, a y-axis labeledthreshold and going from 0 to 40,and a z-axis labeled% of runs and going from 0 to 0.2. At yclose to 0 there are a lot of low peaks (z-axis) for all values of x.As y increases somewhat higher peaks (z-axis) appear for approximate xvalues equal to y and for x values equal to 100-y. When y approaches30 the peaks become very high for x near 50 and vanish at all othervalues of x.

Figure 4 description

The diagram has seven nodes either consisting of two premise sentencesand a conclusion sentence (each indicated by a number) or a singlesentence (again a number). Each sentence have two truth valuesassociated with it (T/T, T/F, F/T, or F/F). For the purpose of thedescription each node will labeled A-G. Node A has the sentence 8(T/T) and has solid arrows to two other nodes (B and F). Node B has 8(T/F), −3 (F/F) and conclusion 2 (F/T). Node B has a solid arrowto node C. Node C has 2 (F/T), 5 (T/F), and conclusion −1 (F/F).Node C has a dashed line (indicating contradiction) to Node D. Node Dconsists of the sentence 1 (T/T) and has a solid arrow pointing toNode E. Node E has 1 (T/T), 7 (F/F) and conclusion −8 (F/F).Node E has a dashed line to Node A. Node F has 8 (T/T), 3 (T/F), andconclusion 4 (T/F). Node F has a solid line to Node G. Node G has 6(F/T), 4 (T/F) and and conclusion −1. Node G has a dashed lineto Node D.

Figure 6 description

At the core of this diagram are three nodesRain pointing toSprinkler and toGrass Wet andSprinklerpointing toGrass Wet. Each node has an associated truthtable

  • Rain has the table
     Rain
    TF
    0.20.8
  • Sprinkler has the table
    Sprinkler
    RainTF
    F0.40.6
    T0.010.99
  • Grass Wet has the table
    Grass Wet
    SprinklerRainTF
    FF0.01.0
    FT0.80.2
    TF0.90.1
    TT0.990.01

Figure 8 description

This 2-d graph has an x-axis labeledSize and ranging from 2to 12. The y-axis is labeledProbability of SuccessfulLearning and ranges from 0.6 to 1. There are three lines on thegraph. The first is labeledCycle and goes from the point(4,0.75) and slopes upward to nearly (11,1). The second labeledWheel starts at about (5,0.8) and slopes upward to slightlybelow the end point forCycle. The third labeledComplete starts at (3,0.65) and slopes upward to nearly(11,0.9). None of the lines intersect.

Figure 9 description

The x-axis is labeledchemotherapy, the y-axis isradiation, and the z-axis isobserved success oftreatment. The resultant surface has two valleys and two peaks.

Figure 13 description

The diagram is labeled “Heuristic [2 4 7]”. A linestarting at the vertical midpoint and going up then down multiple timebefore ending at the vertical midpoint. The start of the line, thefourth peak, and the seventh peak are marked with red circles. Thefirst, second, fourth, and fifth valleys are marked with a red x. Ared x also marks the eighth and ninth peak and the tenth valley.

Figure 17 description

This is a graph of how the proportions of the population change through 12,000 generations for an initial pool of 121 stochastic strategies \(\langle c,d\rangle\) at .1 intervals, with the full value of 0 and 1 replaced with 0.01 and 0.99. It has

  • A blue line that rises immediately, holds for a short while thendescends and is near the bottom for the rest. It is labeled \(\langle.99,.1\rangle\).
  • A green line that stays low for as long as the blue line is highthen rises to intersect at the vertical halfway point the descendingblue line. Stays high for a while before gradually descending. It islabeled \(\langle .99,.2\rangle\).
  • A purple line that stays low before rising to intersect at thevertical halfway point the descending green line. it then stays high.It is labeled \(\langle .99,.3\rangle\).
  • Two lines labelled TFT and AAID that exist only as tiny humps near the beginning of the graph. The AAID line goes about halfway up the graph and then down to zero. The TFT line increases as AAID decreases, but then quickly goes to zero right where the blue line starts.

Figure 18 description

This 2-d graph has an x-axis labeledSize of Population andranging from 0 to 5000. The y-axis if labeledProbability ofMajority Being Correct and ranges from 0.5 to 1.0. There are fourlines on the graph each starting at about (9,0.5) and sloping up. Thetopmost is labeled p=0.52 and ends about (5000,1.0). The second fromthe top is labeled p=0.515 and ends just below the first. The thirdfrom the top is labeled p=0.51 and ends about (5000,0.9). The Fourthand lowest is labeled p=0.505 and ends about (5000,0.75).

Copyright © 2024 by
Patrick Grim<patrick.grim@stonybrook.edu>
Daniel Singer<singerd@phil.upenn.edu>

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The Stanford Encyclopedia of Philosophy iscopyright © 2024 byThe Metaphysics Research Lab, Department of Philosophy, Stanford University

Library of Congress Catalog Data: ISSN 1095-5054


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