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Nhưng cuộc đời đưa đẩy kiểu gì, có một mẩu nhỏ kinh nghiệm sống của mình liên quan nhẹ đến ngài tổng bí thư, nên nhân dịp này mình muốn viết đôi lời. + +Số là năm ấy, trước linh cữu của chủ tịch nước Trần Đại Quang, ông bác làm một thế tay rất lạ. Tư thế đó không qua khỏi con mắt tò mò của đám phóng viên. Và chỉ vài giờ sau, trên trang web trái chiều đã có người nhận định đó là kim cang thủ ấn, nó là thế tay của trẻ sơ sinh nằm trong bụng mẹ, có tác dụng định thần và cải thiện chức năng não bộ. Tò mò, mình lên mạng tìm hiểu về kim cang thủ ấn trong Phật giáo này, và đã học được không chỉ riêng nó mà một loạt các thế thủ ấn khác nhau với công dụng cũng đa dạng không kém. Kể từ đó, mình cũng thường thực hành các thủ ấn khác nhau, ở các tình huống khác nhau trong cuộc sống, phải thừa nhận là chúng có tác dụng ở một mức nhất định. Vì vậy có thể nói, nhờ tích cực quan sát và học tập đồng chí tổng bí thư, mình đã lãnh hội và giác ngộ được các dạng thủ ấn trong Phật giáo. + + + +{{< figure src="assets/img/nguyen-phu-trong-kim-cang-an.jpeg" caption="Figure 1: Kim cang ấn thủ" >}} + +Vậy nên, mình cảm thấy không ngạc nhiên lắm, khi biết ngài tổng bí thư đã chọn trang trí bàn thờ của mình theo phong cách Phật giáo Tây Tạng. Có lẽ ngài cũng biết, thứ Phật giáo đại thừa mình đang quản lý nó là cái hạng gì, nên ở thời điểm quyết định của cuộc đời, ngài đã đưa ra lựa chọn khác. + +Mình xuất thân không phải bần hàn, nhưng bước vào đời ở tư thế một người không tiền, không quan hệ, chỉ với một nhúm kiến thức về y thuật và toán học. Mình đã trải qua những điều kiện sống khắc nghiệt về vật chất và tinh thần, mà nhiều khi nghĩ lại một người bình thường khó mà vượt qua nổi. Mỗi lần như thế, như một đứa con khóc lóc chạy về với mẹ, mình thường hay tìm kiếm giải pháp ở nơi mình cho là có lợi thế nhất, toán học. Và lần nào cũng vậy, nữ thần toán học luôn đáp lời mình, bằng cách này hay cách khác, lời giải luôn xuất hiện. Có thể nói, nữ thần đã đi cùng mình qua những đêm đen nhất của cuộc đời cho đến bây giờ, giữ cho tinh thần và niềm tin của mình chưa bao giờ sụp đổ, dù chỉ một ngày. + +Vậy nên, mình rất hiểu những người đã có mọi thứ trong tay. Nhưng đứng trước cơn sóng lũ của cuộc đời, mọi tiền bạc hay quan hệ vây cánh tất thảy đều vô nghĩa. Họ quay ra cầu nguyện, nhưng chẳng có vị thần nào đáp lời họ cả (một hệ quả trực tiếp của chủ nghĩa vô thần). Thế rồi, họ quay ra nương nhờ Đức Phật. Nhưng họ đâu biết rằng, Đức Phật đã chết từ lâu, và Đức Phật don’t care about you. + +> Đứng trước nhân quả, mọi sinh vật đều bình đẳng. + +Đức Phật không phải là một vị thần, và càng đọc càng tìm hiểu về ngài, mình càng nghĩ ngài chẳng có quyền năng gì sất. Ngài nên hiểu đúng hơn là có hình ảnh như một người thầy, chỉ đường cho ta đi tới, nhưng bước đi được hay không đều do ta hết. Hay nói theo cách để cho những người cộng sản hiểu được, Đức Phật có vai trò như Karl Marx, chỉ với vài cuốn sách, Marx đã chỉ ra con đường giải thoát cho một nhóm những người đang tuyệt vọng cả về vật chất lẫn tinh thần. Marx chỉ ra con đường phải đi, nhưng Lenin mới là người thực hiện nó. Và trong quá trình thực hiện, đấu tranh thế nào, bạo động hay không bạo động, hậu quả thế nào, tất cả đều do ta làm hết và nhận lấy hết. + +P/S: hình ở dưới là tư thế kim cang thủ ấn mình thực hiện bằng bàn tay phải + +P/S 2: bạn không tin vào nhân quả cũng không sao, nhưng sống ở thời đại này, bạn nên tuân thủ theo 2 bộ luật: thứ nhất là các quy luật vật lý, thứ sẽ giúp bạn sống sót từ cú rơi ở độ cao 1000 mét; thứ hai là các quy luật thị trường, thứ sẽ giúp bạn sống sót qua mọi chế độ. diff --git a/main.org b/main.org index 7412ee8..e7b6575 100644 --- a/main.org +++ b/main.org @@ -12,16 +12,7 @@ #+hugo_base_dir: . #+hugo_section: . * temp -** TODO Chuyện đời và phép lịch sự -:PROPERTIES: -:CREATED: [2024-05-29 Wed 09:20] -:EXPORT_HUGO_PUBLISHDATE: -:EXPORT_FILE_NAME: -:EXPORT_HUGO_CUSTOM_FRONT_MATTER: :featured_image "" -:END: -# :EXPORT_HUGO_EXPIRYDATE: -Vì sao con người tiến hoá để lịch sự * Shell :@shell: :properties: :export_hugo_section: posts @@ -67,6 +58,39 @@ Hiện tại chưa có nội dung cho vấn đề này :export_hugo_section: posts :end: +** Một kỉ niệm với Phú Trọng :budha: +:PROPERTIES: +:EXPORT_HUGO_PUBLISHDATE: [2024-07-23 Tue 10:18] +:EXPORT_FILE_NAME: ki-niem-voi-Phu-Trong +:EXPORT_HUGO_CUSTOM_FRONT_MATTER: :featured_image "/assets/img/kim-cang-thu-an.jpg" +:END: +# :EXPORT_HUGO_EXPIRYDATE: + +Thực ra thì mình với ông bác này đời sống cách xa nhau bắn tên lửa còn không tới, những gì mình quan tâm cũng chẳng liên quan đến công việc của ông bác. Nhưng cuộc đời đưa đẩy kiểu gì, có một mẩu nhỏ kinh nghiệm sống của mình liên quan nhẹ đến ngài tổng bí thư, nên nhân dịp này mình muốn viết đôi lời. + +Số là năm ấy, trước linh cữu của chủ tịch nước Trần Đại Quang, ông bác làm một thế tay rất lạ. Tư thế đó không qua khỏi con mắt tò mò của đám phóng viên. Và chỉ vài giờ sau, trên trang web trái chiều đã có người nhận định đó là kim cang thủ ấn, nó là thế tay của trẻ sơ sinh nằm trong bụng mẹ, có tác dụng định thần và cải thiện chức năng não bộ. Tò mò, mình lên mạng tìm hiểu về kim cang thủ ấn trong Phật giáo này, và đã học được không chỉ riêng nó mà một loạt các thế thủ ấn khác nhau với công dụng cũng đa dạng không kém. Kể từ đó, mình cũng thường thực hành các thủ ấn khác nhau, ở các tình huống khác nhau trong cuộc sống, phải thừa nhận là chúng có tác dụng ở một mức nhất định. Vì vậy có thể nói, nhờ tích cực quan sát và học tập đồng chí tổng bí thư, mình đã lãnh hội và giác ngộ được các dạng thủ ấn trong Phật giáo. + +#+NAME: fig:nguyen-phu-trong-kim-cang-an +#+CAPTION: Kim cang ấn thủ +#+ATTR_LaTeX: :height 5cm :placement [!htpb] +[[file:assets/img/nguyen-phu-trong-kim-cang-an.jpeg]] + +Vậy nên, mình cảm thấy không ngạc nhiên lắm, khi biết ngài tổng bí thư đã chọn trang trí bàn thờ của mình theo phong cách Phật giáo Tây Tạng. Có lẽ ngài cũng biết, thứ Phật giáo đại thừa mình đang quản lý nó là cái hạng gì, nên ở thời điểm quyết định của cuộc đời, ngài đã đưa ra lựa chọn khác. + +Mình xuất thân không phải bần hàn, nhưng bước vào đời ở tư thế một người không tiền, không quan hệ, chỉ với một nhúm kiến thức về y thuật và toán học. Mình đã trải qua những điều kiện sống khắc nghiệt về vật chất và tinh thần, mà nhiều khi nghĩ lại một người bình thường khó mà vượt qua nổi. Mỗi lần như thế, như một đứa con khóc lóc chạy về với mẹ, mình thường hay tìm kiếm giải pháp ở nơi mình cho là có lợi thế nhất, toán học. Và lần nào cũng vậy, nữ thần toán học luôn đáp lời mình, bằng cách này hay cách khác, lời giải luôn xuất hiện. Có thể nói, nữ thần đã đi cùng mình qua những đêm đen nhất của cuộc đời cho đến bây giờ, giữ cho tinh thần và niềm tin của mình chưa bao giờ sụp đổ, dù chỉ một ngày. + +Vậy nên, mình rất hiểu những người đã có mọi thứ trong tay. Nhưng đứng trước cơn sóng lũ của cuộc đời, mọi tiền bạc hay quan hệ vây cánh tất thảy đều vô nghĩa. Họ quay ra cầu nguyện, nhưng chẳng có vị thần nào đáp lời họ cả (một hệ quả trực tiếp của chủ nghĩa vô thần). Thế rồi, họ quay ra nương nhờ Đức Phật. Nhưng họ đâu biết rằng, Đức Phật đã chết từ lâu, và Đức Phật don’t care about you. + +#+BEGIN_QUOTE + Đứng trước nhân quả, mọi sinh vật đều bình đẳng. +#+END_QUOTE + +Đức Phật không phải là một vị thần, và càng đọc càng tìm hiểu về ngài, mình càng nghĩ ngài chẳng có quyền năng gì sất. Ngài nên hiểu đúng hơn là có hình ảnh như một người thầy, chỉ đường cho ta đi tới, nhưng bước đi được hay không đều do ta hết. Hay nói theo cách để cho những người cộng sản hiểu được, Đức Phật có vai trò như Karl Marx, chỉ với vài cuốn sách, Marx đã chỉ ra con đường giải thoát cho một nhóm những người đang tuyệt vọng cả về vật chất lẫn tinh thần. Marx chỉ ra con đường phải đi, nhưng Lenin mới là người thực hiện nó. Và trong quá trình thực hiện, đấu tranh thế nào, bạo động hay không bạo động, hậu quả thế nào, tất cả đều do ta làm hết và nhận lấy hết. + +P/S: hình ở dưới là tư thế kim cang thủ ấn mình thực hiện bằng bàn tay phải + +P/S 2: bạn không tin vào nhân quả cũng không sao, nhưng sống ở thời đại này, bạn nên tuân thủ theo 2 bộ luật: thứ nhất là các quy luật vật lý, thứ sẽ giúp bạn sống sót từ cú rơi ở độ cao 1000 mét; thứ hai là các quy luật thị trường, thứ sẽ giúp bạn sống sót qua mọi chế độ. + ** Câu chuyện hành hương :budha: :PROPERTIES: :EXPORT_HUGO_PUBLISHDATE: [2024-05-19 Sun 19:06] @@ -862,6 +886,33 @@ tôi có cảm giác như đã chạm đến bản chất của toán học. Như vậy, sau rất nhiều biến cố và đổi thay trong đời, Brook Taylor, người đàn ông tôi đã mang họ trong suốt mười mấy năm, đã đưa tôi trở lại con đường xưa. Còn chuyện gì đến sau đó, sẽ đến, whatever, who care? + +** Một kỉ niệm khác với Euler :mathnotes: +:PROPERTIES: +:EXPORT_HUGO_PUBLISHDATE: [2024-06-17 Mon 10:08] +:EXPORT_FILE_NAME: euler-variational-method +:EXPORT_HUGO_CUSTOM_FRONT_MATTER: :featured_image "/assets/img/taj-mahah.jpeg" +:END: +# :EXPORT_HUGO_EXPIRYDATE: + +Cách đây mấy năm, trong lúc đang tìm kiếm đề tài cho luận văn của mình, tôi đã thử tìm hiểu bộ môn giải tích biến phân. Đó là môn tôi chưa được học trong chương trình, nhưng mà nó hứa hẹn tôi về một phương pháp tối ưu, nên tôi đọc, thế thôi. + +Mày mò một hồi, tôi tự nhiên nhận ra rằng mình đã cảm được tinh thần của phép tính biến phân ấy. Mà khởi nguồn đầu tiên nhất, lại một lần nữa bắt đầu từ một người quen, Euler. Phương pháp Euler đã sử dụng để khai sinh ra phép tính biến phân thật kì lạ, nó không giống như bất kỳ điều gì tôi thấy trước đây. Nói cho mọi người dễ hiểu, thông thường làm toán hay làm bất kì điều gì khác, ta thường soi xét vật ta đang nghiên cứu, rồi đưa nó vào những tình huống cực hạn để nó bộc lộ ra những bản chất mà ta nghiên cứu, nói chung là phải có một lực từ ngoài vào, đối tượng mới tự biến đổi và thể hiện mình được. Nhưng Euler thì khác, ông chỉ quan sát sự thay đổi của các hàm số, gần như không tác động gì cả, từ đó, thông qua một vài phép biến đổi vi phân, Euler đã có được hàm số tối ưu mà gần như chẳng mất công sức nào. + +Điều đó không khác gì một sự giác ngộ, cứ như là nằm ở bên trong lõi của mọi sự vật trong tự nhiên, đã có sẵn một cấu trúc tối ưu, và mọi hành động của tự nhiên đều tuân theo một quy tắc tối ưu nào đó, và công việc của Euler đơn giản chỉ là gọi nó ra tờ giấy trắng mà thôi. + +Đó là kĩ thuật toán học đã có tuổi đời hơn 200 năm (phương trình Euler - Lagrange), và tôi khá chắc rằng vật lý học trong thế kỷ 19 đã tận dụng nó triệt để để tính toán tối ưu cho các phát minh của họ trong thời gian này (ví dụ như các chi tiết máy cần tính toán tối ưu ngay từ đầu). Bởi vì kĩ thuật giải phương trình Euler - Lagrange rất phức tạp, nên phản xạ ngay lúc đó của tôi là muốn giải phương trình này một cách tự động hoá bằng máy tính, symbolic và có thể vẽ ra cả đồ thị của hàm tối ưu. + +Đây không phải là một ước muốn viển vông, đạt được điều này có nghĩa là từ các điều kiện ban đầu, và các ràng buộc ban đầu, với năng lực tính toán vừa đủ, ta sẽ biết được ngay lập tức đâu là đường đi tối ưu nhất dưới những điều kiện đó. Nó giống như bạn và đối thủ chuẩn bị chơi một ván cờ, nhưng bạn đã biết được các nước đi tối ưu, trước khi cả đối thủ đi nước đầu tiên. + +Đời không như là mơ, tôi thực sự đã mất cả năm để duy trì mối bận tâm suy nghĩ về cách giải symbolic cho phương trình Euler - Lagrange ấy, đọc qua cả chục thư viện CAS, nhưng rồi chỉ vì một vướng mắc kĩ thuật đã làm tôi phải dừng lại. + +Thế rồi, thời đại AI đã đến, và chúng có vẻ ngày càng chính xác hơn, người ta thậm chí còn viết một số phiên bản AI dùng cho những mục đích chuyên biệt, như khám chữa bệnh, giải toán,... và câu đầu tiên tôi hỏi AI, sau những câu test về độ chính xác của nó, là cách giải phương trình Euler - Lagrange này bằng symbolic. Rồi, từ từ đã chú em, chú mày đang viết cái gì thế này. Từ từ, để tao đọc đã, bên cạnh những câu lệnh bình thường, để giải quyết những vấn đề nhỏ nhặt bình thường của bài toán, thì có một câu lệnh không hiểu AI đã copy từ đâu mà tôi tìm kiếm mấy năm nay rồi không tìm được, nó đã sử dụng một cách rất sáng tạo các tài nguyên có sẵn để vượt qua vướng mắc kĩ thuật mà tôi đã dừng lại từ trước. + +Và rồi, bùm, Euler - Lagrange căn bản đã được giải xong một cách tổng quát về mặt symbolic. + +Thực tế thì tôi đã không còn trẻ, những chuyện kì lạ trên đời tôi gặp cũng nhiều rồi, nhiều đến nỗi tôi thường nghĩ mình đã gần đến trạng thái "bất hoặc" - tức là không còn điều gì làm mình nghi ngờ nữa cả, bản chất cuộc sống nó sẽ vốn như thế thì sẽ diễn ra như thế. Những khoảnh khắc đốn ngộ về mặt nhận thức cũng đã rất xa, xa như từ thời phổ thông của tôi. Nhưng có lẽ Euler đã nói không, ông ấy vẫn cho tôi một cảm giác khai sáng mới mẻ về bản chất của thế giới này. Và tôi nghĩ mình đủ tư cách để thay lời Euler để nói thế này: bản chất thế giới này không giống như ta thấy hàng ngày, nó rất lạ, và nó thậm chí lạ hơn những gì một người có thể nghĩ ra. + ** Kurt Gödel và định lí bất toàn :mathnotes: :PROPERTIES: :EXPORT_HUGO_PUBLISHDATE: 2019-05-20 09:22:05 @@ -928,31 +979,6 @@ còn kì dị hơn bất kì điều gì bạn có thể tưởng tượng. Các bạn xem thêm bài này để hiểu thêm về Kurt Gödel: [[https://www.prospectmagazine.co.uk/magazine/kurt-godel-and-the-romance-of-logic?fbclid=IwAR1MJFKufTb5YkdZfcvus5nFM4qBOHbLfJaMwPz8HybYYn8WyWPnv2IWhZ0][Kurt Gödel and the romance of logic]] -** Một kỉ niệm khác với Euler :mathnotes: -:PROPERTIES: -:EXPORT_HUGO_PUBLISHDATE: [2024-06-17 Mon 10:08] -:EXPORT_FILE_NAME: euler-variational-method -:EXPORT_HUGO_CUSTOM_FRONT_MATTER: :featured_image "/assets/img/taj-mahah.jpeg" -:END: -# :EXPORT_HUGO_EXPIRYDATE: - -Cách đây mấy năm, trong lúc đang tìm kiếm đề tài cho luận văn của mình, tôi đã thử tìm hiểu bộ môn giải tích biến phân. Đó là môn tôi chưa được học trong chương trình, nhưng mà nó hứa hẹn tôi về một phương pháp tối ưu, nên tôi đọc, thế thôi. - -Mày mò một hồi, tôi tự nhiên nhận ra rằng mình đã cảm được tinh thần của phép tính biến phân ấy. Mà khởi nguồn đầu tiên nhất, lại một lần nữa bắt đầu từ một người quen, Euler. Phương pháp Euler đã sử dụng để khai sinh ra phép tính biến phân thật kì lạ, nó không giống như bất kỳ điều gì tôi thấy trước đây. Nói cho mọi người dễ hiểu, thông thường làm toán hay làm bất kì điều gì khác, ta thường soi xét vật ta đang nghiên cứu, rồi đưa nó vào những tình huống cực hạn để nó bộc lộ ra những bản chất mà ta nghiên cứu, nói chung là phải có một lực từ ngoài vào, đối tượng mới tự biến đổi và thể hiện mình được. Nhưng Euler thì khác, ông chỉ quan sát sự thay đổi của các hàm số, gần như không tác động gì cả, từ đó, thông qua một vài phép biến đổi vi phân, Euler đã có được hàm số tối ưu mà gần như chẳng mất công sức nào. - -Điều đó không khác gì một sự giác ngộ, cứ như là nằm ở bên trong lõi của mọi sự vật trong tự nhiên, đã có sẵn một cấu trúc tối ưu, và mọi hành động của tự nhiên đều tuân theo một quy tắc tối ưu nào đó, và công việc của Euler đơn giản chỉ là gọi nó ra tờ giấy trắng mà thôi. - -Đó là kĩ thuật toán học đã có tuổi đời hơn 200 năm (phương trình Euler - Lagrange), và tôi khá chắc rằng vật lý học trong thế kỷ 19 đã tận dụng nó triệt để để tính toán tối ưu cho các phát minh của họ trong thời gian này (ví dụ như các chi tiết máy cần tính toán tối ưu ngay từ đầu). Bởi vì kĩ thuật giải phương trình Euler - Lagrange rất phức tạp, nên phản xạ ngay lúc đó của tôi là muốn giải phương trình này một cách tự động hoá bằng máy tính, symbolic và có thể vẽ ra cả đồ thị của hàm tối ưu. - -Đây không phải là một ước muốn viển vông, đạt được điều này có nghĩa là từ các điều kiện ban đầu, và các ràng buộc ban đầu, với năng lực tính toán vừa đủ, ta sẽ biết được ngay lập tức đâu là đường đi tối ưu nhất dưới những điều kiện đó. Nó giống như bạn và đối thủ chuẩn bị chơi một ván cờ, nhưng bạn đã biết được các nước đi tối ưu, trước khi cả đối thủ đi nước đầu tiên. - -Đời không như là mơ, tôi thực sự đã mất cả năm để duy trì mối bận tâm suy nghĩ về cách giải symbolic cho phương trình Euler - Lagrange ấy, đọc qua cả chục thư viện CAS, nhưng rồi chỉ vì một vướng mắc kĩ thuật đã làm tôi phải dừng lại. - -Thế rồi, thời đại AI đã đến, và chúng có vẻ ngày càng chính xác hơn, người ta thậm chí còn viết một số phiên bản AI dùng cho những mục đích chuyên biệt, như khám chữa bệnh, giải toán,... và câu đầu tiên tôi hỏi AI, sau những câu test về độ chính xác của nó, là cách giải phương trình Euler - Lagrange này bằng symbolic. Rồi, từ từ đã chú em, chú mày đang viết cái gì thế này. Từ từ, để tao đọc đã, bên cạnh những câu lệnh bình thường, để giải quyết những vấn đề nhỏ nhặt bình thường của bài toán, thì có một câu lệnh không hiểu AI đã copy từ đâu mà tôi tìm kiếm mấy năm nay rồi không tìm được, nó đã sử dụng một cách rất sáng tạo các tài nguyên có sẵn để vượt qua vướng mắc kĩ thuật mà tôi đã dừng lại từ trước. - -Và rồi, bùm, Euler - Lagrange căn bản đã được giải xong một cách tổng quát về mặt symbolic. - -Thực tế thì tôi đã không còn trẻ, những chuyện kì lạ trên đời tôi gặp cũng nhiều rồi, nhiều đến nỗi tôi thường nghĩ mình đã gần đến trạng thái "bất hoặc" - tức là không còn điều gì làm mình nghi ngờ nữa cả, bản chất cuộc sống nó sẽ vốn như thế thì sẽ diễn ra như thế. Những khoảnh khắc đốn ngộ về mặt nhận thức cũng đã rất xa, xa như từ thời phổ thông của tôi. Nhưng có lẽ Euler đã nói không, ông ấy vẫn cho tôi một cảm giác khai sáng mới mẻ về bản chất của thế giới này. 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