𐐢𐐮𐑂𐐮𐑍 𐐮𐑌 𐐰𐑌 𐐊𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐐𐐫𐑊𐐻𐐮𐑍 𐐑𐑉𐐪𐐺𐑊𐐲𐑋 𐐲𐑂 𐐀𐑂𐐲𐑊?

𐐙𐐫𐑉 𐑅𐐲𐑋 𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉 𐐹𐑉𐐬𐑀𐑉𐐰𐑋𐑆, 𐐶𐐨 𐐿𐐰𐑌 𐑌𐐬 𐐮𐑌 𐐲𐐼𐑂𐐰𐑌𐑅 𐐸𐐶 𐑄𐐩 𐐶𐐮𐑊 𐑉𐐲𐑌, 𐐶𐐯𐑌 𐑄𐐩 𐐶𐐮𐑊 𐑅𐐻𐐪𐐹, 𐐲𐑌𐐼 𐐶𐐲𐐻 𐑉𐐮𐑆𐐲𐑊𐐻𐑅 𐑄𐐩 𐐶𐐮𐑊 𐑉𐐮𐐻𐐲𐑉𐑌. 𐐐𐐶𐐯𐑂𐐲𐑉, 𐑄𐐯𐑉 𐐪𐑉 𐐲𐑄𐐲𐑉 𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉 𐐹𐑉𐐬𐑀𐑉𐐰𐑋𐑆 𐑄𐐰𐐻 𐐪𐑉 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋𐑆: 𐐶𐐨 𐐿𐐰𐑌𐐪𐐻 𐑌𐐬, 𐐶𐐮𐑃𐐶𐐻 𐐰𐐿𐐽𐐭𐐲𐑊𐐨 𐑉𐐲𐑌𐐮𐑍 𐑄𐐯𐑋, 𐐶𐐯𐑄𐐲𐑉 𐑄𐐩 𐐶𐐮𐑊 𐐯𐑂𐐲𐑉 𐑅𐐻𐐪𐐹 𐑉𐐲𐑌𐐮𐑍, 𐑊𐐯𐐻 𐐲𐑊𐐬𐑌 𐐶𐐲𐐻 𐑉𐐮𐑆𐐲𐑊𐐻𐑅 𐑄𐐩 𐐶𐐮𐑊 𐑉𐐮𐐻𐐲𐑉𐑌.

𐐎𐐴𐑊 𐑉𐐨𐐼𐐮𐑍 𐐤𐐭 𐐝𐐴𐐲𐑌𐐻𐐮𐑅𐐻 𐐪𐑌 “𐑄𐐲 𐑊𐐮𐑋𐐲𐐻𐑅 𐐲𐑂 𐑌𐐪𐑊𐐲𐐾,” 𐐌 𐐿𐐩𐑋 𐐲𐐿𐑉𐐫𐑅 𐐲 𐑉𐐯𐑁𐐲𐑉𐐲𐑌𐑅 𐐻𐐭 𐐘𐑉𐐯𐑀𐐲𐑉𐐨 Chaitin, 𐐸𐐭 𐐮𐑆 𐐼𐐭𐐮𐑍 𐑅𐐲𐑋 𐐮𐑌𐐻𐑉𐐨𐑀𐐮𐑍 𐐶𐐲𐑉𐐿 𐐮𐑌 𐐲 𐑁𐐨𐑊𐐼 𐐸𐐨 𐐿𐐫𐑊𐑆 “𐑋𐐨𐐻𐐲𐐺𐐴𐐪𐑊𐐲𐐾𐐨,” 𐐲𐐹𐑊𐐴𐐮𐑍 𐐻𐐭 𐐺𐐴𐐪𐑊𐐲𐐾𐐨 𐑄𐐲 𐑊𐐯𐑅𐐲𐑌𐑆 𐐶𐐨𐑂 𐑊𐐲𐑉𐑌𐐼 𐐲𐐺𐐶𐐻 𐑄𐐲 𐑊𐐮𐑋𐐲𐐻𐑅 𐐲𐑂 𐐿𐐪𐑋𐐹𐐷𐐲𐐻𐐩𐑇𐐲𐑌. 𐐆𐐻 𐐲𐐹𐐮𐑉𐑆 𐑄𐐰𐐻 𐐶𐐲𐑌 𐐲𐑂 𐐸𐐮𐑆 𐐸𐐴𐐹𐐪𐑃𐐲𐑅𐐨𐑆 𐐮𐑆 𐑄𐐰𐐻 𐐯𐑂𐐲𐑊𐐭𐑇𐐲𐑌 𐐮𐑆 𐐰𐑌 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋, 𐐮𐑌𐑁𐐲𐑌𐐲𐐻𐑊𐐨 𐑊𐐫𐑍 𐐲𐑌𐐼 irreducibly 𐐿𐐪𐑋𐐹𐑊𐐯𐐿𐑅.

𐐘𐑉𐐯𐑀𐐲𐑉𐐨𐑆 𐐸𐐴𐐹𐐪𐑃𐐲𐑅𐐲𐑅 𐐮𐑆 𐐿𐐲𐑋𐐹𐐰𐐻𐐲𐐺𐐲𐑊 𐐶𐐮𐑄 𐑋𐐴 𐑂𐐷𐐭𐑆 𐐲𐑂 𐑃𐐨𐐪𐑊𐐲𐐾𐐨 𐐲𐑌𐐼 𐑃𐐨𐐪𐐼𐐲𐑅𐐨. 𐐣𐐩𐐺𐐨 𐐶𐐨𐑉 𐑊𐐮𐑂𐐮𐑍 𐐮𐑌 𐐲 𐐹𐐬𐑅𐐻𐐸𐐷𐐭𐑋𐐲𐑌-𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐐼 𐐶𐐲𐑉𐑊𐐼 (𐐶𐐮𐐽 𐐶𐐨 𐑇𐐳𐐼 𐐻𐑉𐐲𐑅𐐻 𐐻𐐭 𐐺𐐨 𐑄𐐲 𐐿𐐩𐑅 𐐮𐑁 𐐶𐐨 𐐻𐑉𐐲𐑅𐐻 𐑄𐐰𐐻 𐐶𐐨 𐐫𐑉 𐐶𐐲𐑉 𐐼𐐮𐑅𐐯𐑌𐐼𐐲𐑌𐐻𐑅 𐐶𐐮𐑊 𐐮𐑂𐐯𐑌𐐽𐐲𐐶𐐲𐑊𐐨 𐐿𐐲𐑋𐐹𐐷𐐭𐐻 𐑋𐐯𐑌𐐨 𐐶𐐲𐑉𐑊𐐼𐑆 𐑊𐐴𐐿 𐐶𐐲𐑉 𐐬𐑌). 𐐊𐑌𐐼 𐑋𐐩𐐺𐐨 𐑄𐐲 𐐹𐐬𐑅𐐻𐐸𐐷𐐭𐑋𐐲𐑌-𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉 𐐶𐐪𐑌𐐻𐑅 𐐻𐐭 𐑋𐐩𐐿 𐑋𐐫𐑉 𐐲𐑌𐐼 𐐺𐐯𐐻𐐲𐑉 𐐹𐐬𐑅𐐻𐐸𐐷𐐭𐑋𐐲𐑌-𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉𐑆.

𐐆𐑁 𐑅𐐬, 𐐶𐐲𐑉 𐐶𐐲𐑉𐑊𐐼 𐑋𐐩 𐐺𐐨 𐐶𐐲𐑌 𐐲𐑂 𐑋𐐯𐑌𐐨 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋𐑆, 𐐫𐑉 𐐶𐐲𐑌 𐐲𐑂 𐑋𐐯𐑌𐐨 𐑂𐐯𐑉𐐨𐐩𐑇𐐲𐑌𐑆 𐐲𐑂 𐐲 𐑅𐐮𐑍𐑀𐐲𐑊 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋, 𐑄𐐰𐐻 𐑄𐐲 𐐹𐐬𐑅𐐻𐐸𐐷𐐭𐑋𐐲𐑌-𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉 𐑅𐐹𐐫𐑌𐐼 𐐶𐐮𐑄 𐑅𐑊𐐴𐐻 𐑂𐐯𐑉𐐨𐐩𐑇𐐲𐑌 𐑁𐑉𐐲𐑋 𐐹𐐲𐑉𐐰𐑋𐐲𐐻𐐲𐑉𐑆 𐑄𐐰𐐻 𐐸𐐰𐑂 𐐹𐑉𐐭𐑂𐐲𐑌 𐐹𐑉𐐪𐑋𐐲𐑅𐐮𐑍 𐐮𐑌 𐑄𐐲 𐐹𐐰𐑅𐐻. 𐐎𐐲𐑌 𐐿𐐪𐑌𐑅𐐲𐐿𐐶𐐲𐑌𐑅 𐐲𐑂 𐑄𐐮𐑅 𐐶𐐳𐐼 𐐺𐐨 𐑄𐐰𐐻 𐐶𐐲𐑉 𐐹𐐬𐑅𐐻𐐸𐐷𐐭𐑋𐐲𐑌-𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐑉 𐑅𐐮𐑋𐐹𐑊𐐨 𐐿𐐰𐑌𐐪𐐻 𐐲𐐻𐐩𐑌 𐐮𐐻𐑅 𐐼𐐮𐑆𐐴𐐲𐑉𐐼 𐑉𐐮𐑆𐐲𐑊𐐻𐑅 𐑁𐐫𐑉 𐐶𐐲𐑉 𐐶𐐲𐑉𐑊𐐼 𐐶𐐮𐑃𐐶𐐻 𐐰𐐿𐐽𐐭𐐲𐑊𐐨 𐑉𐐲𐑌𐐮𐑍 𐐶𐐲𐑉 𐐶𐐲𐑉𐑊𐐼, 𐐨𐑂𐐲𐑊 𐐲𐑌𐐼 𐐫𐑊.

𐐆𐐻 𐑅𐐨𐑋𐑆 𐑄𐐯𐑉𐑆 𐑌𐐬 𐑋𐐨𐑌𐐮𐑍𐑁𐐲𐑊 𐐶𐐩 𐐻𐐭 𐐿𐑉𐐨𐐩𐐻 𐐿𐑉𐐨𐐩𐐻𐐲𐑉𐑆 𐐶𐐮𐑃𐐶𐐻 𐑉𐐨𐑊𐐮𐑍𐐿𐐶𐐮𐑇𐐮𐑍 𐐿𐑉𐐨𐐩𐑇𐐲𐑌𐑆. 𐐆𐑆 𐐮𐐻 𐐹𐐪𐑅𐐲𐐺𐐲𐑊 𐐻𐐭 𐑉𐐮𐑊𐐮𐑍𐐿𐐶𐐮𐑇 𐐿𐐲𐑋𐐹𐐷𐐭𐐻𐐲𐐼 𐐿𐑉𐐨𐐩𐑇𐐲𐑌𐑆 𐐶𐐮𐑃𐐶𐐻 𐐮𐑌𐐿𐐫𐑉𐐹𐐲𐑉𐐩𐐻𐐮𐑍 𐐮𐑌𐐻𐐭 𐑄𐐯𐑋 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋𐑆? 𐐗𐐰𐑌 𐐶𐐨 𐐿𐑉𐐨𐐩𐐻 𐐪𐑉𐐻𐐲𐑁𐐮𐑇𐐲𐑊 𐐾𐐯𐑌𐐲𐑉𐐲𐑊 𐐮𐑌𐐻𐐯𐑊𐐲𐐾𐐲𐑌𐑅 𐐶𐐮𐑃𐐶𐐻 𐐲𐑌𐐼𐐮𐑅𐐴𐐼𐐲𐐺𐐲𐑊 𐐸𐐫𐑊𐐻𐐮𐑍 𐐹𐑉𐐪𐐺𐑊𐐲𐑋𐑆? 𐐗𐐰𐑌 𐐶𐐨 𐐿𐑉𐐨𐐩𐐻 𐐪𐑉𐐻𐐲𐑁𐐮𐑇𐐲𐑊 𐐾𐐯𐑌𐐲𐑉𐐲𐑊 𐐮𐑌𐐻𐐯𐑊𐐲𐐾𐐲𐑌𐑅 𐑄𐐰𐐻 𐐼𐐲𐑆 𐑌𐐪𐐻 𐐮𐐿𐑅𐐹𐐮𐑉𐐨𐐲𐑌𐑅 𐐨𐑂𐐲𐑊?