From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on inbox.vuxu.org X-Spam-Level: * X-Spam-Status: No, score=1.5 required=5.0 tests=DKIM_ADSP_CUSTOM_MED, DKIM_SIGNED,DKIM_VALID,FREEMAIL_FORGED_FROMDOMAIN,FREEMAIL_FROM, HEADER_FROM_DIFFERENT_DOMAINS,HTML_MESSAGE,HTTPS_HTTP_MISMATCH, NML_ADSP_CUSTOM_MED,RCVD_IN_MSPIKE_H2,T_SCC_BODY_TEXT_LINE autolearn=no autolearn_force=no version=3.4.4 Received: from AUS01-ME3-obe.outbound.protection.outlook.com (mail-me3aus01on2120.outbound.protection.outlook.com [40.107.108.120]) by inbox.vuxu.org (Postfix) with ESMTP id 4DD8C23831 for ; Tue, 18 Jun 2024 06:34:21 +0200 (CEST) ARC-Seal: i=4; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=Fzs3QLo1TdgkfEpN6DeemeJPjD7EYw13YqYzhoLuh7TeRRHsMPQOB56BFO60wW6Y+/hgzZPyRcHAHZ/ix1TrKXr3YbjjFFnR/dueO4eXgh9Zs89GOrbsYtCTG8drkw0PxoFHdYM8pESzBDGpFdfIWKgwNm+cmbzw3LpOy0+MwQbTMtLwEbJh8S4eqrruiorZ8vSR1/WsfJqE+cgDJFR+zrv3R2qjTiJg/pfsBil5Di9pcq5cTYDvChvxQRP0hgW8yO/Mj9DeatBudBb0YuNvUTc6twxze1wVQ55JVXCMRQ9FJkCnGKFmaF0c1hdLkONBBDNqdRURXX5jKB6Gw6zUrA== ARC-Message-Signature: i=4; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=GVJl0h33yNyr8fRPLe5bW0eIeV+Z2oud5rlpcLS1/5w=; b=XMEvG9kH/AFCNQkDhUU9DpH22iDQKQ7+2ZzFBkvdRWI+jAeFNkyZr69tmCont8vdRqdXsfNwDPq3Gt816XBu/ef0STDlo6iQMgxigvqyMMK/w4a2REgJKEGUemWaOXWE6IREoST1FowGGElJSJdwtEqSMtwxmSouDRVS+EhNYHCs4kWq10qNH5nGldnEmtE6cgVFQfAG18PSjojZT6Vp6zq7VsJUhzqyUXaeKsQe4SKoJcphZlkw475VMseuB9Q2g80x8sLnLV0n1gV8H5UZrldeX6sGbHNSE9v0npEONFtd9OmBIWjtrpnN8HkaxoDzWTTWoFFQ5rjXjX8CirJi/A== ARC-Authentication-Results: i=4; mx.microsoft.com 1; spf=pass (sender ip is 209.85.217.50) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=groups.office.net; s=selector1; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-SenderADCheck; bh=GVJl0h33yNyr8fRPLe5bW0eIeV+Z2oud5rlpcLS1/5w=; b=Z/CsR0S2pbqFzW/35NOMZivKhodT5VYXQZOwfl64XFvlmCfeeBi03N+O8SC0oVn7/pX1VPUc1dhQuzRBi8zJHiwW3NFMja7/5rtH0zmDTK/GgCCr35wl1rNYLHMLgBsFB2e0xEykav+izvh4+koK2yUlVW/uamdtQJW6yM2fR1MMn0aINv1WAVQ7f4m0dVmQID1DbwSXBKcauAeyEUH2pRHpySHW9QXaYqv4PjmFUUG02nSWDcJ6ANbr9qEvSlfwwMCC7mBpVV3IpsEd2rRnscWWxZ9anEMxziKE9EMBQUm6QgLjlq3IMzv67lRy5H9TwsVnSbbBvshhm3uCjgDAHg== Received: from SmtpServer.Submit by ME2PR01MB5778 with Microsoft SMTP Server id 15.20.7677.31; Tue, 18 Jun 2024 04:34:17 +0000 ARC-Seal: i=3; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=bQk/bOrbrjBCpSnFXGrDGkhOIOlUhChAwxlDnCUfib5ua0kxy+UVsmsLJzO5rzoET1N4dR4tApnshGQj2RnPGI7i8uMbKBPTyXE9r97M0ZcL5tpr9zg06J/HQJ7ROABaQZOjLfzo9VGWK9ysFgIRUM/6+z9vB7YnbPEF4Cl1/1Hx42kBjjijFXmi35HWTzmDqG0VozSBah9a50r0tbRs6QdPAAiyUEcj6ryMf9xXLCP7Db1NfTC+ayAIdhC1zcLX2qvaek6GokoXFKEmKYEBl+o58V2xw1nUTLY9IaHkCF4/qFHg21ZbNJ93n1XseLB4KY+c6ZTZ1+ft+oX7MxC9+A== ARC-Message-Signature: i=3; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=8bxNieruLN9qvhAUMCq5pcrpepROHk9VBJ91MUrzrNE=; b=B+KBgK+96wuC7tjF06+NwTzTEt7XRu4Koo+zeEMpFfG7ijKfmPajoylMzli6EiHuDiz6IJBCvOwOaFh1cJXcuv4+WJCz1CIY21jyo/rG8HqjtCVYz6jAG+srIFzuo3Ejlm5PreVuEKajfgJbN8Q96YtXAIDcraIONak0pyhI9FH8hJUKv8drZ0n4WXu7zCg3/jSSJHMlkR/vrXSSRNgPxU/EYojkmYRxOvtgJ89RKGf+Hji8V5Gh2A1gFG2t3DbyeovWuDPI6pxr5DMZ1I3+wxS3LhFyAj7fxd/bzwoLom8vG4FKL0q7UIFa5ZC9c2B16BGhikk1JA4V4ewhJ+zvNA== ARC-Authentication-Results: i=3; mx.microsoft.com 1; spf=pass (sender ip is 209.85.217.50) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) Received: from MEWPR01MB8813.ausprd01.prod.outlook.com (2603:10c6:220:1f8::11) by ME2PR01MB5778.ausprd01.prod.outlook.com (2603:10c6:220:d5::10) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7677.31; Tue, 18 Jun 2024 04:34:11 +0000 Received: from ME3PR01MB5480.ausprd01.prod.outlook.com (2603:10c6:220:7::8) by MEWPR01MB8813.ausprd01.prod.outlook.com (2603:10c6:220:1f8::11) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7677.31; Tue, 18 Jun 2024 04:34:06 +0000 Received: from ME3PR01MB5480.ausprd01.prod.outlook.com ([fe80::31a6:a2cd:8320:59f4]) by ME3PR01MB5480.ausprd01.prod.outlook.com ([fe80::31a6:a2cd:8320:59f4%5]) with mapi id 15.20.7677.030; Tue, 18 Jun 2024 04:34:06 +0000 ARC-Seal: i=2; a=rsa-sha256; s=arcselector9901; d=microsoft.com; cv=pass; b=G3FsBLO1qm318SC93QZ6+aX+s7lYdrc51Br+q2b7pX9OrqAv/zIKXGzJNKY+kr+cUuermKI22HNcpoJ+ECpbSPryodXXkhFyf1+1MFOS5uS9RCw3JPeoApzF/us4EdaHK953o1RDPC9VQAJX1a0dbCYqbASxTXJFOklxDNzu8/pUy1wi968e4vNVJX0Z/EmLfSV8Lul448iJYXJ5arM+wItT3m1uXP5+qhvy2rgTP1fLNBuqR+dqUVCUbNnYdstSHrE6CJOeHc+XF5DlruZxty9HDZhaG6NdwmxVcDIdxHSzDtskrTplEWTwEYnyW3JIhwChaSYQHSNYoOyRWG0TmA== ARC-Message-Signature: i=2; a=rsa-sha256; c=relaxed/relaxed; d=microsoft.com; s=arcselector9901; h=From:Date:Subject:Message-ID:Content-Type:MIME-Version:X-MS-Exchange-AntiSpam-MessageData-ChunkCount:X-MS-Exchange-AntiSpam-MessageData-0:X-MS-Exchange-AntiSpam-MessageData-1; bh=8bxNieruLN9qvhAUMCq5pcrpepROHk9VBJ91MUrzrNE=; b=BKZAns+YpZXhcmoBc+1OsyYcvq/R9gkZ9nqmVTIiXGta2qcSFZ9Gm+qdD0TF8cOCMWvNtKGcWe6PLgDHGbeScXC4R5c1dkZxAenfqJFCJA6BS1RahdVuNodLwwYQfSdmSwkYURe3xjIbBz0sGFRX5KyNaCdL5pbyDhdFtm7GS46yqChuw+6xUDR6X/5RvMhuA8srX6pNR0QcjHzWQuu2I3BF53rzOhgvyczOy+U2EJxbIIUZsDAPsOFzwuAmGgi5WFtyLfmLrZtbuNHpsnbCEoAvwKsHTijTx5loDWW88BZVAcJ4SOEJ7BmdmWBYYDKHluUARlyNw4P/4pyVRWo5ag== ARC-Authentication-Results: i=2; mx.microsoft.com 1; spf=pass (sender ip is 209.85.217.50) smtp.rcpttodomain=mq.edu.au smtp.mailfrom=gmail.com; dmarc=pass (p=none sp=quarantine pct=100) action=none header.from=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com; arc=pass (0 oda=0 ltdi=0 93) Received: from SYAPR01CA0023.ausprd01.prod.outlook.com (2603:10c6:1::35) by SY6PR01MB8137.ausprd01.prod.outlook.com (2603:10c6:10:1d0::7) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7677.31; Mon, 17 Jun 2024 17:24:39 +0000 Received: from SY1PEPF000066C4.ausprd01.prod.outlook.com (2603:10c6:1:0:cafe::4) by SYAPR01CA0023.outlook.office365.com (2603:10c6:1::35) with Microsoft SMTP Server (version=TLS1_2, cipher=TLS_ECDHE_RSA_WITH_AES_256_GCM_SHA384) id 15.20.7677.31 via Frontend Transport; Mon, 17 Jun 2024 17:24:39 +0000 Authentication-Results: spf=pass (sender IP is 209.85.217.50) smtp.mailfrom=gmail.com; dkim=fail (body hash did not verify) header.d=gmail.com;dmarc=pass action=none header.from=gmail.com; Received-SPF: Pass (protection.outlook.com: domain of gmail.com designates 209.85.217.50 as permitted sender) receiver=protection.outlook.com; client-ip=209.85.217.50; helo=mail-vs1-f50.google.com; pr=C Received: from au-smtp-inbound-delivery-1.mimecast.com (103.96.22.101) by SY1PEPF000066C4.mail.protection.outlook.com (10.167.241.54) with Microsoft SMTP Server (version=TLS1_3, cipher=TLS_AES_256_GCM_SHA384) id 15.20.7677.15 via Frontend Transport; Mon, 17 Jun 2024 17:24:39 +0000 ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=dkim.mimecast.com; s=201903; t=1718645079; h=from:from:reply-to:subject:subject:date:date:message-id:message-id: to:to:cc:mime-version:mime-version:content-type:content-type: in-reply-to:in-reply-to:references:references:dkim-signature; bh=8bxNieruLN9qvhAUMCq5pcrpepROHk9VBJ91MUrzrNE=; b=Jf1T1uxmn8vF9rCJ+7eUMIz16s6UEREFiVVkq4ffCVQSzWmGtbnKe61CH7HRF2EHUaKVjV yPDAHl+DHWxDj4XGIyPIVVcfa/Rj85sv+I001d9vUD5jKTK61yGiYHBEP9C8yzhTEFSq2m emnl9BR1M+H3M4gcae8M+ZBSJ1FBmWXVVCnq0+Ky/rxk00fgSa1QpYzKAbmvrytQ8rh0EP l/Hm77OGd97d+6AIh2seuemqbYYrnp2vjSe5O2/l55yrvc6T7EXOg+NMUukydjiQSKn4Br eUBRRzJc+hZdXesVySc6UwI0HIhDD9/Mvhoo/OtpkTPNrFQVBM1Or0sqQgwbsw== ARC-Seal: i=1; s=201903; d=dkim.mimecast.com; t=1718645079; a=rsa-sha256; cv=none; b=ougBexkd5SNdkYQzRlVgkSpZ8TgEzeF4IM8dIMDYD+eblz25z5hbakkkh+/noACxnYQuNh KNHAYBehuHn5gb0BT0iMcbe6nTLUdKLMDlySw82LPzjW2lkOCgxnHARmJEHeVI8FmqMYhm 4NqUxraQjkHfl0yBviCRJ6Jc6dxEA3/oHKD2+l/Wkn4b6URe7PkFd6CKYC/fI5YURDcCtN F8DzoWYLUC9PBU3TGEdYTLxdy+uxokFW8vLKf8Yt9w30V3FD+WJ0QkE3CyMAxBkgRYuAk1 F3r8qt9TpPy1W0i2oB2qTYdxI9wl2k1r5wAjocmelVdd5rUZGCe8gIY6df1hsA== ARC-Authentication-Results: i=1; relay.mimecast.com; dkim=pass header.d=gmail.com header.s=20230601 header.b=WA6tGND3; dmarc=pass (policy=none) header.from=gmail.com; spf=pass (relay.mimecast.com: domain of posinavrayudu@gmail.com designates 209.85.217.50 as permitted sender) smtp.mailfrom=posinavrayudu@gmail.com Authentication-Results-Original: relay.mimecast.com; dkim=pass header.d=gmail.com header.s=20230601 header.b=WA6tGND3; dmarc=pass (policy=none) header.from=gmail.com; spf=pass (relay.mimecast.com: domain of posinavrayudu@gmail.com designates 209.85.217.50 as permitted sender) smtp.mailfrom=posinavrayudu@gmail.com Received: from mail-vs1-f50.google.com (mail-vs1-f50.google.com [209.85.217.50]) by relay.mimecast.com with ESMTP with STARTTLS (version=TLSv1.3, cipher=TLS_AES_256_GCM_SHA384) id au-mta-72-H7e8YCQBPfaafxOXT6LPDg-1; Tue, 18 Jun 2024 03:24:29 +1000 X-MC-Unique: H7e8YCQBPfaafxOXT6LPDg-1 Received: by mail-vs1-f50.google.com with SMTP id ada2fe7eead31-48c52a1f1ffso1918048137.3 for ; Mon, 17 Jun 2024 10:24:29 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20230601; t=1718645067; x=1719249867; darn=mq.edu.au; h=to:subject:message-id:date:from:in-reply-to:references:mime-version :from:to:cc:subject:date:message-id:reply-to; bh=tv8Dwhc/j+FR3F54UBYX39IGpMbjkejARmXPmRp1bcc=; b=WA6tGND3kn24WNauP5M4W9UQzaoCIAzQlImXXj/Zt6t7T/D22q7Z7sB9gYDPik0RMu ZAFR3vgP2LNCP6m6M/j2GCKYiKCvIyU9L8VhZXnHQScJRuFf4Lq5noOPx7mImCP4n8nj uCrvbSMT+0dIex2EZTiqfgvO894odoMxy69Oy43asklQLHXEL0He1O1I8g2KDdknJeuG mKljzdgM1gPBev9D8J796KVVh7WoR3I5CaGQml/uNlhYAbH7ZRtKIBH+m7TnijfRpvnq F7t4mRwTreDDK7TEwjicFknhOmDV+qfkcKFcOAEaAxHwA+cb24Eazk7tulESCtn28o+g 9S9g== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20230601; t=1718645067; x=1719249867; h=to:subject:message-id:date:from:in-reply-to:references:mime-version :x-gm-message-state:from:to:cc:subject:date:message-id:reply-to; bh=tv8Dwhc/j+FR3F54UBYX39IGpMbjkejARmXPmRp1bcc=; b=OliGHicXT15BiCE0OTqtWlpPNTWVAli795YvF+iSJz0rI64AktF8Z4FqxmcdDV7DLM awCA3TH4ZnEyot/DKadr4p2cZQOizfGSxxs78E4PRm6n1PXeywl1NP4Zx6IYG6totz1e XEMACPN3zMnLvCrEYm3TSlfKWIv2nIZ23/aENafoNjyFoaNXBVj/iZSCu138fuYbfNnx PNUM4XqbvYRPc3dUWDrGbiM2CA8RgT/VaHOyNYdEEzO6/rFWsy1/JfRKbp9m5rWACUsQ TlyLpr7itP6yEpP+vA9G3RXJO4I/c155qn9DXd5GHrmUYQE+e5wWh8KzkByQ8YtESCrh 1RCA== X-Gm-Message-State: AOJu0Yz2+Rf06bQpKQsBqdPeyyb41gaAjRQgQRFafxgNvGvnccS3TYxJ pU1mXRUMowkJu+5uG7NDACXGixXln5g+kL5I63wvr4QENkc2dGDixApUyn3O/frR610GLT2lKXS jS0nSKXGjCdMEEPF4XN6UNql1geg4ewY01gFWLA== X-Google-Smtp-Source: AGHT+IEMfchmprIh2qZF7Nicq9Kw2dS5EIznCjLIxstANJ6MwsdSrIu0+9GeDHW8FseLQd4IKDQ49bJncB31OrRMYG8= X-Received: by 2002:a05:6102:284b:b0:48c:37e1:d877 with SMTP id ada2fe7eead31-48dae3e7f65mr8814421137.31.1718645067171; Mon, 17 Jun 2024 10:24:27 -0700 (PDT) MIME-Version: 1.0 References: <66704C18.6030702@fuw.edu.pl> In-Reply-To: <66704C18.6030702@fuw.edu.pl> From: Posina Venkata Rayudu Date: Mon, 17 Jun 2024 22:54:13 +0530 Message-ID: Subject: adequate and coadequate subcategories To: categories@mq.edu.au X-Mimecast-Spam-Score: 15 X-Mimecast-Impersonation-Protect: Policy=MQ - Tag Header Only on Default Settings;Similar Internal Domain=false;Similar Monitored External Domain=false;Custom External Domain=false;Mimecast External Domain=false;Newly Observed Domain=false;Internal User Name=false;Custom Display Name List=false;Reply-to Address Mismatch=false;Targeted Threat Dictionary=false;Mimecast Threat Dictionary=false;Custom Threat Dictionary=false Content-Type: multipart/alternative; boundary="MCBoundary=_12406180324360261" X-EOPAttributedMessage: 0 X-EOPTenantAttributedMessage: 82c514c1-a717-4087-be06-d40d2070ad52:0 X-MS-Exchange-SkipListedInternetSender: ip=[209.85.217.50];domain=mail-vs1-f50.google.com X-MS-Exchange-ExternalOriginalInternetSender: ip=[209.85.217.50];domain=mail-vs1-f50.google.com X-MS-PublicTrafficType: Email X-MS-TrafficTypeDiagnostic: SY1PEPF000066C4:EE_|SY6PR01MB8137:EE_|MEWPR01MB8813:EE_|ME2PR01MB5778:EE_ X-MS-Office365-Filtering-Correlation-Id: 4d668ff2-1514-4357-4db3-08dc8ef25e2c X-Moderation-Data: 6/18/2024 4:34:04 AM X-LD-Processed: 82c514c1-a717-4087-be06-d40d2070ad52,ExtAddr,ExtAddr X-MS-Exchange-AtpMessageProperties: SA X-MS-Exchange-SenderADCheck: 0 X-MS-Exchange-AntiSpam-Relay: 0 X-Microsoft-Antispam: BCL:0;ARA:13230037|35950700013|7093399009|32650700014|82310400023|1800799021|48200799015|376011|7416011|41080700001; X-Microsoft-Antispam-Message-Info: =?utf-8?B?TFRldnF1M1dSMnVsb1VZdXNkRVNOYU1OK21UcnBQc3FqcUVQb0w1QktUdzVu?= =?utf-8?B?MWU2bnZrcTNrZWpHcjBvRVZuaVAzeWxqd2I2M084d3VQeFdkQkZsbnJLU3pu?= =?utf-8?B?bWhFWlpNY1NudzcwR1hvd0dFTHR2RTh3ZTNXVjVURkZYNWVUNlhBQ1hUMzNW?= =?utf-8?B?SnpBdndUdDBHY1R6NitlWUVRMGR0N1orUE1ES1kwemZWek5jOVlYcXVTalZN?= =?utf-8?B?RVVuSFRwUGRYejZ1bWlMUGVRWjBIb0FmakZJMnhNK3ptMXBVbkpTY3h3UE9Y?= =?utf-8?B?YlNaM0Q5VUYvcStvVXZjd2EyYS94ZlRSVnZNT0FybldsQWpVVFg4N2FpUFUx?= =?utf-8?B?K2ptZ2dhZlNqS2JHdUFIUGVsdjBNZllVZXBpWWJZK0kvUmxaZVJrdjN1Z2lD?= =?utf-8?B?cm8wL0pPTU12ajNCdE9nWHF4b05BL0ZCWnpud2hPR3FlRE1pcCs0cWNybmg5?= =?utf-8?B?UDlmMkxSdG4rejgrODE1NkltNG41bG5EZE8yVTM1UmtRMTQ1elFEWDRZOW4z?= =?utf-8?B?MFZ4VXNNTHAyUlNDTmg2elVCbUM0ekFsS01BZTV5d1VLckIwOUtnZXQ5aFV0?= =?utf-8?B?ekROeGhHdzNkSW9YcEhoOWVFeTZ0eENHK2F1ZDVPY1kzMTlaTHQ0WnlQNk1a?= =?utf-8?B?WnJNU0pTL3JobEhPU1VzY2pmUGRUWVcvSkZ6eVAySEswR0VCV1J5NEpFbklz?= =?utf-8?B?c0c1RnpBdG1DNDlWU05xSFl6ZHJab1NKbUlMek5QWHlGL0FzUXpRZE05dzF4?= =?utf-8?B?QTRWcnhxZFQzbmFSSEZUaFIyc0NTSHNKY0JNcmZoeDBzZU1kdWQxSWRMRTZx?= =?utf-8?B?SFUwM2JDWE8yQkw1RjFaSnJ2VWFiR0VFK1RiWTlGejJYOGhtWld3WGk2YWd0?= =?utf-8?B?NHVWQlZZb3c2Ri9qWVJUaHQyRTU5amx0MFRCOW9CSHRPWlhHTzU3ZXhlOVhI?= =?utf-8?B?ZnBDVlF3OW1rWnJjN0wwczNGV0RYa24zcGM1UjhZRUJpODYvYllZY1Z3ZXhz?= =?utf-8?B?aHRBaU1wTk1KRmUwMlZpRU9MeEdhNDc3UkxmYVg3eDF1blRGM3JXVnhvaStU?= =?utf-8?B?U0pmVUxSTDQ0Q2RoSUJDRG9rK2ZFTUJnZmdtVlMySC9aL1BvT2FaTk1rdnNi?= =?utf-8?B?SjcrcFNKQjU3UlZNaU8wOFpHbitvb3NYLzNiU3JDellqSk5pRkd3ZDdNUE9W?= =?utf-8?B?aEhwNTFpM1NldWdybGRiSDM5ZXZxeWdjYlNsaWhqUmJhaXJ0SUl4MHhXQ3lB?= =?utf-8?B?UFhKZGE1S2c5VHVOVlZsNElYcXpteElVRFFpSFBSSjV5TlNKVzh1NWgyRDV2?= =?utf-8?B?UjZLV1poVFM2WFE4WXJqT0RoTmdoTHJVWDQvZVVoTDJEWTJwOUYvMWF5dG0y?= =?utf-8?B?d1dnTHZreUpqbXpmZFB2MVVOUVdsT3NoWlJUUkZsZE5SWklBVVVaK1lnb1Mr?= =?utf-8?B?NWIxTzMrWHhHbmNReEhrT0Nnd25yQnpQMjU3WkVDNGV3S3VURkoxbnhHeFZQ?= =?utf-8?B?NTJicnBNcnQ4b1dTWTZTdU1yWGpscFZXRGJsM0lLMm9XSUdzV0ZUdFJSQVpK?= =?utf-8?B?WFhLUzd1cUpPSjFWWTRXbnJsL0pFZGYrR1dQb0JDZFpRSEEyTmdCMjV5K0Q3?= =?utf-8?B?UkpQTzEwSDRUdVhvaWs4QWFESlRHbkNoMnRwWXp3ZGR6d3JmKzQ1N2lMTEh3?= =?utf-8?B?VmlJT01NbXlNWmVFV1NLL3pueTQwM092SWFHdCt6bXRlVWlvNmc1TWJwSHE2?= =?utf-8?B?R2VpakliYVdiYUlnbWdrQjFpci9NUmVRTmdkVHVDYmtBMFFLRkF1NEFzTlMr?= =?utf-8?B?Y3F3cWRTYmMrS3UreHV5UUlTYUI2czd3UkhaWUVEMWZKcXMzQi8rMCszbnFt?= =?utf-8?B?NmVpUXdxd3JmMDVSZkNORWI4YnVGd252enlwcnBkdldlTGxQZEQ5bGJVUFhC?= =?utf-8?Q?iWHemIV3OA8=3D?= X-Forefront-Antispam-Report: CIP:103.96.22.101;CTRY:US;LANG:en;SCL:1;SRV:;IPV:NLI;SFV:NSPM;H:mail-vs1-f50.google.com;PTR:mail-vs1-f50.google.com;CAT:NONE;SFS:(13230037)(35950700013)(7093399009)(32650700014)(82310400023)(1800799021)(48200799015)(376011)(7416011)(41080700001);DIR:OUT;SFP:1102; X-Auto-Response-Suppress: DR, OOF, AutoReply X-MS-Exchange-CrossTenant-Network-Message-Id: 4d668ff2-1514-4357-4db3-08dc8ef25e2c X-MS-Exchange-CrossTenant-Id: 82c514c1-a717-4087-be06-d40d2070ad52 X-MS-Exchange-CrossTenant-AuthSource: SY1PEPF000066C4.ausprd01.prod.outlook.com X-MS-Exchange-CrossTenant-AuthAs: Anonymous X-MS-Exchange-CrossTenant-FromEntityHeader: Internet X-MS-Exchange-CrossTenant-OriginalArrivalTime: 18 Jun 2024 04:34:06.4916 (UTC) X-MS-Exchange-CrossTenant-MailboxType: HOSTED X-MS-Exchange-CrossTenant-UserPrincipalName: g7Wp7b4NyvasvT3ONp/efF6cGferBjni8NxmvjFJcqbV4hgQX7zEil0Inc2Z/eNA4UMobo74sC9xi8sqmLCScreahMdfHmloJE8qvVKPOaSBANWF3rSD42qk8Yql+k+0kXRwQWDmSAFkG3T8kKyS5Awv0rkKQqi7gSa9jTln8l9+2RT8s2VE+pKPesPktU/Xnky+PS5OKqAJWkYDdywqnw== X-MS-Exchange-Transport-CrossTenantHeadersStamped: ME2PR01MB5778 X-MS-Exchange-UnifiedGroup-DisplayName: Categories mailing list X-MS-Exchange-UnifiedGroup-Address: categories@mq.edu.au X-MS-Exchange-UnifiedGroup-MailboxGuid: 9c2f954e-92a7-451b-b723-a07075d7adb5 X-MS-Exchange-UnifiedGroup-CustomizedMessage: RedeemedBusinessGuests X-MS-Exchange-Parent-Message-Id: Auto-Submitted: auto-generated X-MS-Exchange-Generated-Message-Source: Throttled Fork Delivery Agent X-MS-Exchange-AntiSpam-MessageData-ChunkCount: 1 X-MS-Exchange-AntiSpam-MessageData-0: =?utf-8?B?OTlvdHhNdjd3ajE2SEdNa0Vyam0xclZRMkNDVHdCelFxS0VkZVA2SDdyNlRv?= =?utf-8?B?ajZueG84RUlZTUlwODV2Y2pyOTZ1QWxZMno2SlN2VEo4UEw5RHhQSmNCSkdD?= =?utf-8?B?RlVPMWcyUWQ1MzlFekEwVVlHOHI4WXJrYnFQTHRPMlhlWWVDQ3g4amlFdnhT?= =?utf-8?B?NkxlRGdHY0NtQWdwRlpVZWx2RUhMdEdwTXc5YjFJRU9CY01qSzBHR2VjNzBV?= =?utf-8?B?NnAzcUllVVp2NVQyYW9SWGxkWE43b2tmMlU0WHBwTGZ6cFkrVTdTYU5sKytF?= =?utf-8?B?Z3FFRmRsWWhtUkRaSTExaVJHQzVIa3BtQVVCbGgveFNKTDNEbnhaN0Rqd0hH?= =?utf-8?B?Vi96d2ZTYi9zbjBhYXdGbll6cVVPVE81ZEdNVDNVT3lKQld2S1ZZL1QrMWJq?= =?utf-8?B?UmRqd2dFaTJFRkJoeVJCbUdtb09SUWlyUzRqWXNqaTg2VEtnbW5mZEI1V0pP?= =?utf-8?B?TWczem5Ic2kycW1OTWFrcldOUGJGbDZhUGdsMWt2VlMzT3lzR1JzTnpBQmUr?= =?utf-8?B?N0djLzhGdHBDa1ZEU1dEbVhOSHgwem1sRmF1eCs4VlJBWFhPMnRLSmw2eEtq?= =?utf-8?B?UXZNQ2tiY0RaM2ZsL1RVR0F5YlhCdmtxNU9ZNDdLYjg5NTIrL0FrRHFDajlh?= =?utf-8?B?cURuS2U5c1EreUxVQ3NNRXN5Z084dncxT2hqWWZkbExkbW5tR2ozdG5WWHYz?= =?utf-8?B?bTRtdHZqWGpQc3ZSZmx3RU4wYWxJcE96WHY4czFRdUF0cnltb2pucnplM3Nt?= =?utf-8?B?ZFpMb1pHTXltNkhYN0FtZWhDWktxZEg1ZGdvSjBqVkh1UTF1RXhNTXl0OEx0?= =?utf-8?B?bHBDVDdYVGJsbHl3emg1Q0dmUGg3VFJ0SzBUSnpLRjEvWDIxNjJZU2lIQlFw?= =?utf-8?B?L3ZyYjFVSFhsVGExUTQ2RlhUcU9JYnlab0Y5RVl4OUJqWFpSMnBEZjRadnV1?= =?utf-8?B?ekdTZG04U1lYOHBwK1JRWGNhK3NBTC9jTXlwVktGVityeUs2QS9tZ05rK1FD?= =?utf-8?B?bG1OL3BOTlQzbFdmbnM0NXRPOWUvdldkL2hUWFdGRXRYK0R6emdrdDZVUW5m?= =?utf-8?B?VW9ZTjM3Kzk3RTdWVXBwaWorM09QY1lVeWloOEZZczlCcjVWZDJLcEZ6RzVJ?= =?utf-8?B?R0ZrNHpQaGpJVTdYaXR4SkcvT281bUVlSTZSYkkrZXBnL3VKZ05VOHBSRG5P?= =?utf-8?B?bXdKZkdxSFl1cTY3SmF4eG9valdjMndIYk9CeU5mN28rZGhGVGM3cGExN1ZD?= =?utf-8?B?eEFSbWRYYVZBb25rc0F4ZWQ1bXo4YjVuODZkNFVVV3plU3V4ejFlbTRET040?= =?utf-8?B?VXEzdVRlbG85eXJrZUdsblluZlZwQ1hpQWtGcmZleDkvRnEySEdacU1JNFIz?= =?utf-8?B?YVJUMEJPY3hZTFFFcTN6NGhTNVNOdUJsRUdwUTBBdmQzRFN5KzBseG9HKzdr?= =?utf-8?B?enhsaWlWcUl4TTE4WWVkdlhic05EdW1FTWdYVVg0WEtrUGxYWGVxUTk1L1VN?= =?utf-8?B?V2VBdTVsVGYyNTNIZHNWc052Y3dvQUEvSSsrQTNiME1mSDlubFV5d0JTZDJ5?= =?utf-8?B?VHhQWk9zcTR2aW1PK2d6MkZRdGdrRnJKOWZyS3JLM3d0OCsyRjd3QXBEMzJS?= =?utf-8?B?YjJBM2pBZHB3TUtnNlQ5dkx3ZjJMdTdkeGx2bXRFMTdLREd5S1lJbE91N3FG?= =?utf-8?B?cXdyei8yeG1vS2N2a1NjODV6VDhydTdqWjUrM3dJQk5hMkgyb0dzUURVODJk?= =?utf-8?B?aTQybDYzSzJUVzc0SmpScDBYRXZrWlQ1YkJXWXBXcnZPaEFSa0p6SDBOZmt3?= =?utf-8?B?bmMvd2ZOdHRyWU1yOEt0VUEvcEpVVXF2VjcxZ01OUDRNTC9hMEJhZU5xYTZy?= =?utf-8?B?c3V5QzJ3NDE0dklnZ2d4dUpIVnd3aDVkNVkvVEpZR3pUM1NGbDJOcnpoNGZw?= =?utf-8?B?ZFZZS3BHUlFWNzFWbFkyVHlpdUt5TE0yMGFONTlvRkJjNFVscEduekdCdERG?= =?utf-8?B?a25PRU9vY2xBPT0=?= X-OriginatorOrg: mq.edu.au --MCBoundary=_12406180324360261 Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: quoted-printable Dear All, For some time, I have been staring at the basic relation of algebraic geometry (https://zenodo.org/records/7079058, p. 2), which is an adjoint relation between geometry and algebra: V^Yop <=3D=3D=3D> (V^Y)op which Professor F. William Lawvere was kind enough to suggest as a framework to abstract the mathematical content of the fundamental dialectic of philosophy: ([epistemology vs. ontology] vs. reality) I think compounding epistemology and ontology into which reality is resolved is a major outstanding scientific program. Surely, Newton would be happy, having emphasized synthesis after analysis. Professor F. William Lawvere referred to the above adjointness as Isbell conjugacy (http://www.tac.mta.ca/tac/reprints/articles/8/tr8.pdf, p. 17). Sim= ply put, Isbell conjugacy is about getting to know a category V in terms of geometric Y-shaped figures vs. algebraic Y-valued properties (https://zenodo.org/records/7059109, p. 49). Going by our experience with sets, a single-element set 1 =3D {*} is adequate enough to completely characterize every set and to test for the equality of functions, but we need a two-element coadequate set 2 =3D {false, true} to tell apart elements of any domain set. Before long I can't help but wonder if the relationship between V^Aop <=3D?=3D> (V^C)op (where A and C are adequate and coadequate subcategories, respectively, of a category V) would be relatively more informative than the above Isbell conjugacy. Furthermore, in a CatList post (06 March 2009), Professor F. William Lawvere points out that Isbell conjugacy is a special case of the construction of the total category with two descriptions which objectify adjointness (unfortunately I couldn't find any mention of 'total category' in a quick search of his Functorial Semantics of Algebraic Theories (http://www.tac.mta.ca/tac/reprints/articles/5/tr5.pdf, which he cites). I look forward to your corrections and suggestions! Happy Bakrid :) Thanking you, Yours truly, posina You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message. View group files | Leave group | = Learn more about Microsoft 365 Groups --MCBoundary=_12406180324360261 Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset=UTF-8 Dear All,

For some time, I have been staring at the basic relation of algebraic
geometry (https://zenodo.org/records/7079058, p. 2),= which is an
adjoint relation between geometry and algebra:

V^Yop <=3D=3D=3D> (V^Y)op

which Professor F. William Lawvere was kind enough to suggest as a
framework to abstract the mathematical content of the fundamental
dialectic of philosophy:

([epistemology vs. ontology] vs. reality)

I think compounding epistemology and ontology into which reality is
resolved is a major outstanding scientific program. Surely, Newton
would be happy, having emphasized synthesis after analysis.

Professor F. William Lawvere referred to the above adjointness as
Isbell conjugacy
(http://www.tac.mta.ca/tac/reprints/articles/8/tr8.pdf, p. 17). Simply
put, Isbell conjugacy is about getting to know a category V in terms
of geometric Y-shaped figures vs. algebraic Y-valued properties
(https://zenodo.org/records/7059109, p. 49).

Going by our experience with sets, a single-element set 1 =3D {*} is
adequate enough to completely characterize every set and to test for
the equality of functions, but we need a two-element coadequate set 2
=3D {false, true} to tell apart elements of any domain set.

Before long I can't help but wonder if the relationship between

V^Aop <=3D?=3D> (V^C)op

(where A and C are adequate and coadequate subcategories,
respectively, of a category V) would be relatively more informative
than the above Isbell conjugacy.

Furthermore, in a CatList post (06 March 2009), Professor F. William
Lawvere points out that Isbell conjugacy is a special case of the
construction of the total category with two descriptions which
objectify adjointness (unfortunately I couldn't find any mention of
'total category' in a quick search of his Functorial Semantics of
Algebraic Theories
(http://www.tac.mta.ca/tac/reprints/articles/5/tr5.pdf, which he
cites).

I look forward to your corrections and suggestions!

Happy Bakrid :)

Thanking you,
Yours truly,
posina
 
 
You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message.
 
View group files   |   Leav= e group   |&n= bsp;  Learn more about Microsoft 365 Groups
 
--MCBoundary=_12406180324360261--