Нүүр хуудас/Багана/Mathematical Psychology

Mathematical Psychology

This project investigates mathematical psychology's historical and philosophical foundations to clarify its distinguishing characteristics and relationships to adjacent fields. Through gathering primary sources, histories, and interviews with researchers, author Prof. Colin Allen - University of Pittsburgh [1, 2, 3] and his students Osman Attah, Brendan Fleig-Goldstein, Mara McGuire, and Dzintra Ullis have identified three central questions:

What makes the use of mathematics in mathematical psychology reasonably effective, in contrast to other sciences like physics-inspired mathematical biology or symbolic cognitive science?
How does the mathematical approach in mathematical psychology differ from other branches of psychology, like psychophysics and psychometrics?
What is the appropriate relationship of mathematical psychology to cognitive science, given diverging perspectives on aligning with this field?

Preliminary findings emphasize data-driven modeling, skepticism of cognitive science alignments, and early reliance on computation. They will further probe the interplay with cognitive neuroscience and contrast rational-analysis approaches. By elucidating the motivating perspectives and objectives of different eras in mathematical psychology's development, they aim to understand its past and inform constructive dialogue on its philosophical foundations and future directions. This project intends to provide a conceptual roadmap for the field through integrated history and philosophy of science.

The Project: Integrating History and Philosophy of Mathematical Psychology

This project aims to integrate historical and philosophical perspectives to elucidate the foundations of mathematical psychology. As Norwood Hanson stated, history without philosophy is blind, while philosophy without history is empty. The goal is to find a middle ground between the contextual focus of history and the conceptual focus of philosophy.

The team acknowledges that all historical accounts are imperfect, but some can provide valuable insights. The history of mathematical psychology is difficult to tell without centering on the influential Stanford group. Tracing academic lineages and key events includes part of the picture, but more context is needed to fully understand the field's development.

The project draws on diverse sources, including research interviews, retrospective articles, formal histories, and online materials. More interviews and research will further flesh out the historical and philosophical foundations. While incomplete, the current analysis aims to identify important themes, contrasts, and questions that shaped mathematical psychology's evolution. Ultimately, the goal is an integrated historical and conceptual roadmap to inform contemporary perspectives on the field's identity and future directions.

The Rise of Mathematical Psychology

The history of efforts to mathematize psychology traces back to the quantitative imperative stemming from the Galilean scientific revolution. This imprinted the notion that proper science requires mathematics, leading to "physics envy" in other disciplines like psychology.

Many early psychologists argued psychology needed to become mathematical to be scientific. However, mathematizing psychology faced complications absent in the physical sciences. Objects in psychology were not readily present as quantifiable, provoking heated debates on whether psychometric and psychophysical measurements were meaningful.

Nonetheless, the desire to develop mathematical psychology persisted. Different approaches grappled with determining the appropriate role of mathematics in relation to psychological experiments and data. For example, Herbart favored starting with mathematics to ensure accuracy, while Fechner insisted experiments must come first to ground mathematics.

Tensions remain between data-driven versus theory-driven mathematization of psychology. Contemporary perspectives range from psychometric and psychophysical stances that foreground data to measurement-theoretical and computational approaches that emphasize formal models.

Elucidating how psychologists negotiated to apply mathematical methods to an apparently resistant subject matter helps reveal the evolving role and place of mathematics in psychology. This historical interplay shaped the emergence of mathematical psychology as a field.

The Distinctive Mathematical Approach of Mathematical Psychology

What sets mathematical psychology apart from other branches of psychology in its use of mathematics?

Several key aspects stand out:

Advocating quantitative methods broadly. Mathematical psychology emerged partly to push psychology to embrace quantitative modeling and mathematics beyond basic statistics.
Drawing from diverse mathematical tools. With greater training in mathematics, mathematical psychologists utilize more advanced and varied mathematical techniques like topology and differential geometry.
Linking models and experiments. Mathematical psychologists emphasize tightly connecting experimental design and statistical analysis, with experiments created to test specific models.
Favoring theoretical models. Mathematical psychology incorporates "pure" mathematical results and prefers analytic, hand-fitted models over data-driven computer models.
Seeking general, cumulative theory. Unlike just describing data, mathematical psychology aspires to abstract, general theory supported across experiments, cumulative progress in models, and mathematical insight into psychological mechanisms.

So while not unique to mathematical psychology, these key elements help characterize how its use of mathematics diverges from adjacent fields like psychophysics and psychometrics. Mathematical psychology carved out an identity embracing quantitative methods but also theoretical depth and broad generalization.

Situating Mathematical Psychology Relative to Cognitive Science

What is the appropriate perspective on mathematical psychology's relationship to cognitive psychology and cognitive science? While connected historically and conceptually, essential distinctions exist.

Mathematical psychology draws from diverse disciplines that are also influential in cognitive science, like computer science, psychology, linguistics, and neuroscience. However, mathematical psychology appears more skeptical of alignments with cognitive science.

For example, cognitive science prominently adopted the computer as a model of the human mind, while mathematical psychology focused more narrowly on computers as modeling tools.

Additionally, mathematical psychology seems to take a more critical stance towards purely simulation-based modeling in cognitive science, instead emphasizing iterative modeling tightly linked to experimentation.

Overall, mathematical psychology exhibits significant overlap with cognitive science but strongly asserts its distinct mathematical orientation and modeling perspectives. Elucidating this complex relationship remains an ongoing project, but preliminary analysis suggests mathematical psychology intentionally diverged from cognitive science in its formative development.

This establishes mathematical psychology's separate identity while retaining connections to adjacent disciplines at the intersection of mathematics, psychology, and computation.

Looking Ahead: Open Questions and Future Research

This historical and conceptual analysis of mathematical psychology's foundations has illuminated key themes, contrasts, and questions that shaped the field's development. Further research can build on these preliminary findings.

Additional work is needed to flesh out the fuller intellectual, social, and political context driving the evolution of mathematical psychology. Examining the influences and reactions of key figures will provide a richer picture.

Ongoing investigation can probe whether the identified tensions and contrasts represent historical artifacts or still animate contemporary debates. Do mathematical psychologists today grapple with similar questions on the role of mathematics and modeling?

Further analysis should also elucidate the nature of the purported bidirectional relationship between modeling and experimentation in mathematical psychology. As well, clarifying the diversity of perspectives on goals like generality, abstraction, and cumulative theory-building would be valuable.

Finally, this research aims to spur discussion on philosophical issues such as realism, pluralism, and progress in mathematical psychology models. Is the accuracy and truth value of models an important consideration or mainly beside the point? And where is the field headed - towards greater verisimilitude or an indefinite balancing of complexity and abstraction?

By spurring reflection on this conceptual foundation, this historical and integrative analysis hopes to provide a roadmap to inform constructive dialogue on mathematical psychology's identity and future trajectory.

The SDTEST^®

The SDTEST^® is a simple and fun tool to uncover our unique motivational values that use mathematical psychology of varying complexity.

The SDTEST^® helps us better understand ourselves and others on this lifelong path of self-discovery.

Here are reports of polls which SDTEST^® makes:

1) Сүүлийн сард ажилтнуудтай холбоотой ажилтнуудын үйл ажиллагаа (Тийм / Үгүй)

2) Сүүлийн сард ажилтнуудтай холбоотой компаниудын үйл ажиллагаа (баримт%)

3) Аймаг

4) Миний улс орны хамгийн том бэрхшээлүүд

5) Амжилтанд хүрсэн багуудыг барихдаа ямар чанар, чадварыг ашигладаг вэ?

6) Гүүгл: Багийн үр нөлөөнд нөлөөлдөг хүчин зүйлүүд

7) Ажлын байр хайгчдын гол тэргүүлэх чиглэлүүд

8) Дарга нь агуу удирдагч юу болгодог вэ?

9) Хүмүүс ажил дээрээ амжилтанд хүргэдэг зүйл юу вэ?

10) Алсаас ажиллахад бага цалин авахад бэлэн үү?

11) АМЬДРАЛЫГ ХЭРЭГЛЭХ ВЭ?

12) АВТОМАШИНГИЙН АЖИЛЛАГАА

13) Амьдрал дахь нас

14) АМЬДРАЛЫН АЖИЛЛАГАА

15) Хүмүүс яагаад бууж өгдөг шалтгаан (Анна амин чухал)

16) Итгэх (#WVS)

17) Оксфордын аз жаргал судалгаа

18) Сэтгэлзүйн сайн сайхан байдал

19) Таны дараагийн хамгийн сонирхолтой боломж хаана байх вэ?

20) Сэтгэцийн эрүүл мэндээ харж үзэхийн тулд энэ долоо хоногт та юу хийх вэ?

21) Би өнгөрсөн, одоо, одоо, ирээдүйн талаар бодож байна

22) Meryitocation

23) Хиймэл оюун ухаан ба соёл иргэншлийн төгсгөл

24) Хүмүүс яагаад хойшлодог вэ?

25) Өөртөө итгэх итгэлийг бий болгох жендэрийн ялгаа (ifd allensbach)

26) Xing.com соёлын үнэлгээ

27) Патрик Ленсиони "багийн таван дисфакцууд"

28) Эмпати бол ...

29) Энэ мэргэжилтэн ажлын саналыг сонгоход юу зайлшгүй шаардлагатай вэ?

30) Хүмүүс яагаад өөрчлөлтийг эсэргүүцдэг (Siobhán mchale)

31) Та сэтгэл хөдлөлөө яаж зохицуулдаг вэ? (Навал Мустафа м.а.

32) 21 Таныг үүрд төлдөг 21 ур чадвар (Жеремиагийн Тео / 赵汉昇)

33) Бодит эрх чөлөө бол ...

34) Бусадтай итгэх 12 арга (Жастин Райтаар)

35) Авьяаслаг ажилтны шинж чанар (авъяас чадварын хүрээлэн гэх мэт)

36) Багаа өдөөх 10 товчлуурууд

37) Ухамсрын алгебр (Владимир Лефебр)

38) Ирээдүйн гурван ялгаатай боломж (Др. Клэр В. Грейвс)

Below you can read an abridged version of the results of our VUCA poll “Fears“. The full version of the results is available for free in the FAQ section after login or registration.

Аймаг

график Хамаарал

VUCA

Корреляцийн коэффициент нь чухал үнэ цэнэ

Ердийн хуваарилалт, Уильям далайн эргэлт (оюутан) r = 0.0331

Энгийн бус хуваарилалт, Spearman r = 0.0013

Зөвхөн үр дүнг харуул > r = 0.0331

Хувиарилалт	Энзлийн биш	Энзлийн биш	Энзлийн биш	Хэвийн байдал	Хэвийн байдал	Хэвийн байдал	Хэвийн байдал	Хэвийн байдал
Бүх асуулт Бүх асуулт Миний хамгийн том айдас бол
Миний хамгийн том айдас бол
Answer 1	-	Сул эерэг 0.0562	Сул эерэг 0.0311	Сул сул -0.0164	Сул эерэг 0.0903	Сул эерэг 0.0301	Сул сул -0.0120	Сул сул -0.1534
Answer 2	-	Сул эерэг 0.0217	Сул эерэг 0.0011	Сул сул -0.0455	Сул эерэг 0.0660	Сул эерэг 0.0440	Сул эерэг 0.0117	Сул сул -0.0942
Answer 3	-	Сул сул -0.0034	Сул сул -0.0104	Сул сул -0.0419	Сул сул -0.0451	Сул эерэг 0.0462	Сул эерэг 0.0780	Сул сул -0.0204
Answer 4	-	Сул эерэг 0.0436	Сул эерэг 0.0362	Сул сул -0.0177	Сул эерэг 0.0150	Сул эерэг 0.0296	Сул эерэг 0.0189	Сул сул -0.0984
Answer 5	-	Сул эерэг 0.0298	Сул эерэг 0.1270	Сул эерэг 0.0133	Сул эерэг 0.0724	Сул сул -0.0002	Сул сул -0.0199	Сул сул -0.1742
Answer 6	-	Сул сул -0.0003	Сул эерэг 0.0089	Сул сул -0.0627	Сул сул -0.0074	Сул эерэг 0.0190	Сул эерэг 0.0825	Сул сул -0.0321
Answer 7	-	Сул эерэг 0.0123	Сул эерэг 0.0388	Сул сул -0.0684	Сул сул -0.0238	Сул эерэг 0.0468	Сул эерэг 0.0631	Сул сул -0.0517
Answer 8	-	Сул эерэг 0.0699	Сул эерэг 0.0857	Сул сул -0.0318	Сул эерэг 0.0150	Сул эерэг 0.0341	Сул эерэг 0.0125	Сул сул -0.1372
Answer 9	-	Сул эерэг 0.0666	Сул эерэг 0.1681	Сул эерэг 0.0094	Сул эерэг 0.0694	Сул сул -0.0131	Сул сул -0.0533	Сул сул -0.1815
Answer 10	-	Сул эерэг 0.0776	Сул эерэг 0.0744	Сул сул -0.0185	Сул эерэг 0.0224	Сул эерэг 0.0352	Сул сул -0.0135	Сул сул -0.1293
Answer 11	-	Сул эерэг 0.0585	Сул эерэг 0.0531	Сул сул -0.0094	Сул эерэг 0.0086	Сул эерэг 0.0195	Сул эерэг 0.0313	Сул сул -0.1200
Answer 12	-	Сул эерэг 0.0378	Сул эерэг 0.1030	Сул сул -0.0357	Сул эерэг 0.0350	Сул эерэг 0.0261	Сул эерэг 0.0297	Сул сул -0.1510
Answer 13	-	Сул эерэг 0.0642	Сул эерэг 0.1044	Сул сул -0.0454	Сул эерэг 0.0259	Сул эерэг 0.0424	Сул эерэг 0.0183	Сул сул -0.1595
Answer 14	-	Сул эерэг 0.0718	Сул эерэг 0.1034	Сул сул -0.0003	Сул сул -0.0085	Сул сул -0.0016	Сул эерэг 0.0074	Сул сул -0.1172
Answer 15	-	Сул эерэг 0.0550	Сул эерэг 0.1382	Сул сул -0.0418	Сул эерэг 0.0181	Сул сул -0.0163	Сул эерэг 0.0211	Сул сул -0.1183
Answer 16	-	Сул эерэг 0.0591	Сул эерэг 0.0276	Сул сул -0.0384	Сул сул -0.0397	Сул эерэг 0.0651	Сул эерэг 0.0280	Сул сул -0.0710

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[1] https://twitter.com/wileyprof

[2] https://colinallen.dnsalias.org

[3] https://philpeople.org/profiles/colin-allen

2023.10.13

VALERII KOSENKO

Бүтээгдэхүүний эзэн SAAS POTE PONES SDTEST®

VALERII нь 1993 онд Нийгмийн хөгжлийн бэрхшээлтэй байсан бөгөөд 1993 онд нийгмийн хөгжлийн бэрхшээлтэй байсан бөгөөд Төслийн менежментийн мэдлэгээ хэрэглэснээс хойш.
WALERII нь магистрын зэрэг, төсөл, хөтөлбөр, хөтөлбөрийн менежерийг олж авсан бөгөөд энэ нь төслийн хөтөлбөр, Projectmap-тэй танилцуулсан.
Валерии нь янз бүрийн спираль динамик тестийг авч, өөрийн мэдлэг, туршлагыг ашигласан бөгөөд энэ нь SDTEST-ийн одоогийн хувилбарыг дасан зохицоход ашигласан.
Валери бол V.U.C.C.A-ийн тодорхой бус байдлыг судлах зохиогч юм. Спираль динамик, математик статистикийг сэтгэцийн санал, 20 гаруй олон улсын санал асуулга.

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